CURRICULUM VITAE

PROF. DR. NASSER HASSAN SWEILAM

CAIRO UNIVERSITY

*********************

Name: Nasser Hassan Sweilam

First Name: Nasser Family Name: Sweilam

Date of Birth: 21.08.1959, Place of Birth: Suez-Egypt, Sex: Male.

Martial Status: Married (with three childern).

Address: Cairo University, Faculty of Science, Department of Mathematics,

Giza- 12 613, Egypt.

Telephone: Mobile: +20100 35 43 201, Home: +202 3720 98 40

e-mail address: n sweilam@yahoo.com, nsweilam@sci.cu.edu.eg

Nationality: Egyptian.

Education:

Secondary: G.S.C. 1977-Suez Secondary School, Egypt.

University: -B.Sc. Mathematics, May 1981, Cairo University, Faculty of Science.

-M.Sc. Preliminary year 1984, Cairo University, Faculty of Science.

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-M.Sc. Thesis “Some Numerical Methods for the Solution of Integral

and Integro-differential Equations.” (10/1988), Cairo University.

-Registered for Ph.D., 1989, under the Supervision of Prof. Dr. Karl

Heins Hoffmann, Institute of Mathematics, Technical University

of Munich, Germany and Prof. Dr. L. F. Abd-elal, Cairo University,

Faculty of Science, Department of Mathematics-Egypt, in the area:

“Optimal Control of Quasistationary Variational Inequalities,

the Dam Problem. Mathematical Analysis and Numerical Approach.”

-3.6.1991 to 1.11.1993, Deutscher Akademischer Austauschdienst

(DAAD) fellowship (Channel System)for Ph.D. in Germany.

-From 30.9.1991 to 1.11.1993 Ph.D. student in Augsburg University

and Ludwig-Maximilians University Munich, Germany.

-Ph.D. Thesis “Optimal Control of Quasistationary Variational

Inequalities, the Dam Problem. Mathematical Analysis and

Numerical Approach.” (2/1994), Cairo University.

Additional Graduate Courses; Summer Schools :

Summer Courses in Functional Analysis and Numerical

Analysis, Perugia, Italy in Augest 1985 under a fellowship from

Scuola Matematica Interunivrsitaria.

-Summer Course in Numerical Analysis “Finite Element Method ”

Cortona, Italy in July 8-28, 1990 under a fellowship from

Scuola Matematica Interunivrsitaria.

-School on Numerical Simulation of Partial Differential Equations:

Methods, Algorithms, Applications”. Trieste, Italy, September

9− 27, 1996 under the fellowship from International Center For

Theoretical Physics.

Attended Conferences:

-Workshop on Filtration and Nonlinear Diffusion Processes.

Augsburg University (Germany) , October 24− 26, 1991.

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-International Conference on Optimal Control,

Irsee (Germany), July 21− 24, 1992.

-Workshop on Numerical and Computational Methods for

Free Boundary Problems, Freiburg i. Br. University

(Germany), September 4−5, 1995. I gave a contributed talk entitled

“Gradient-Type Algorithm for the Numerical Solution of Optimal

Control Time Dependent Dam Problem ”

-Conference on Recent Advances in Numerical Methods for Partial

Differential Equations, Trieste, Italy, September 23− 29, 1996.

I gave a contributed talk entitled “Numerical Simulation of the

Optimal Control Evolution Dam Problem ”.

-International Conference of Environmental Research Division On

Sustainable Development Environmental Challenges Facing Egypt,

5-7 June, 2004, I gave a contributed talk entitled “A Computational

Approach for the Optimal Control System of Dams ”.

−6thPAN-African Congress of Mathematics, Tunis, Sept. 01-06,2004,

I gave a contributed talk entitled “Particle Swarm Optimization

for the Determination of depths from gravity data”

−8thInternational conference on parametric optimization and

related topics, Cairo-Egypt, November 27- December 1, 2005,

I gave a contributed talk entitled “Self Potential Inversion Using

Particle Swarm Optimization.”

−40th Annual conference for statistics, computer science,

and operations research, Cairo-Egypt, 3-6 December, 2005, we gave

a contributed talk entitled “Neural Networks for Solving Ill-posed

Inversion Problems Arising from Fredholm Integral Equations

for Retrieving Vertical Atmospheric Temperature Profiles .”

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-International conference on mathematical analysis and its

applications (ICMAA 2006), Assiut-Egypt, 3-6 Jan. 2006, I gave

a contributed talk entitled “Comparison Of Higher order Accurate

Methods for Solving Harmonic Wave Generation in Non -linear ”

Thermoelasticity. ”

-Qatar University Research Forum 2008, Qatar, April 29, 2008.

I gave a contributed talk entitled “A computational approach for

optimal control Systems governed by variational inequalities.”

−2th Annual CAS Research Fair, Qatar University, May 21-22,

2008., I gave a contributed talk entitled, Optimal control of the

Dam Problem.

-German-Egyptian Cooperation-On the Rode to Success-

First Annual Meeting , Cairo University, November 9-10, 2008.

-Workshop on Energy, Irrigation and Soil Management in Rural

Desert Settlement, Cairo Univ., Conference Center, November 11,2008.

-The Synchrotron Light Applications, SESAME-JSPS School,

Cairo University, Conference Center, November 17-22, 2008.

-Coordinator of the One Day Congress on: Computational Methods

for Linear and Nonlinear Systems, Department of Mathematics,

Faculty of Science, Cairo University, June 25, 2009.

-The second international conference on Numerical Analysis and

Optimization (ICNAO2011),Sultan Qaboos University, Muscat,

Oman 3-6 Jan. 2011,I gave a contributed talk entitled :

”Numerical Studies for the Variable-Order Nonlinear Fractional

Wave Equation.”

-Coordinator of the One Day Congress on: Computational Methods

for Linear and Nonlinear Systems, Department of Mathematics,

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Faculty of Science, Cairo University, Feb. 3, 2011.

- Workshop on ”Revolution of Nanotechnology”, Egyptian National

Commission for UNESCO, Cairo, November 27-29, 2011.

I gave a talk entitled ”On the Approximate Solutions Of the

Nonlinear Vibrations of Multiealled Carbon Nanotubes.

- The 8th International Conference on Informatics and Systems

(INFOS 2012) May 14-16, 2012, I gave a talk entitled

”On the Parallel Iterative Finite Difference Algorithm

for 2-D Poisson’s Equation with MPI Cluster”.

-The the 19th International Conference on Difference Equations

and Applications (ICDEA2013),

Sultan Qaboos University, Muscat, Oman, May 26-30, 2013,

I gave a talk entitled ”On the Numerical Simulation of the

Fractional Cable Equation”.

-Coordinator of the One Day Congress on: Computational Methods

for Linear and Nonlinear Systems, Department of Mathematics,

Faculty of Engineering , Cairo University, June 6 2013

- The 3th International Conference on Mathematics and Inform.

Sciences, Luxor, December 28-30, 2013, I gave a talk entitled:

”Numerical Studies for Some Types of Fractional Optimal Control”.

- The 3th International Conference on Numerical Analysis and

Optimization (NAOIII 2014), Muscat, Oman, January 5-9, 2014,

I gave a talk entitled ”Legender Spectral Method for Study Some

Types of Fractional Optimal Control”.

-Plenary speaker in the workshop ” Numerical Simulation of

Evolutionary Processes” At the instituto per Applicazioni del

Calcolo”M. Picone” (IAC), CNR, Area della Ricerca di Bari,

Bari, Italy, January 14-16, 2014. I gave a lecture entitled ” On

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the Fractional Order Differential Equations for Real Life Models”.

- The principal delegate of the Egyptian National Committee

for Mathematics, for the IMU general assembly meeting

in Gyeongju. August 10 - 11, 2014, Gyeongju. Korea.

- Conference of Mathematics and Its Applications-2014

November 14− 17, 2014, Kuwait City, Kuwait.

I gave a talk entitled ” Numerical Simulations for a Variable Order

Fractional Cable Equation”.

Post Doctoral Fellowships:

-European Science Foundation (ESF) fellowship in TU-Munich,

Germany, September 6− 30, 1995 under supervision of Prof. Dr.

Karl Heins Hoffmann, for Post Doctoral research work .

-Deutscher Akademischer Austausschdienst (DAAD) fellowship in

Augsburg university, Augsburg, Germany, from 15− 06− 1998

to 15− 08− 1998 under supervision of Prof. Dr. Ronald H. W.

Hoppe, for Post Doctoral research work.

-Deutscher Akademischer Austausschdienst (DAAD) fellowship in

Augsburg university, Augsburg, Germany, from 09− 07− 2005

to 5− 09− 2005 under supervision of Prof. Dr. Ronald H. W.

Hoppe, for Post Doctoral research work.

-Joint Institute of Nuclear Research (JINR), Dubna, Russia,

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February 7-12, 2010.

-Deutscher Akademischer Austausschdienst (DAAD) fellowship in

Augsburg university, Augsburg, Germany, from 09 -07 - 2012

to 5-09 - 2012 under supervision of Prof. Dr. Ronald H. W. Hoppe.

-Joint Institute of Nuclear Research (JINR), Dubna, Russia,

August 25-30, 2013.

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Employment Experience:

-Oct. 1981 - Oct. 1988; Demonstrator at the Department of

Mathematics, Faculty of Science, Cairo University, Egypt.

-Oct. 1988 - Sept. 1994; Assistant Lecturer at the Department of

Mathematics, Faculty of Science, Cairo University.

-Lecturer at the Department of Mathematics, Faculty of Science,

Cairo University, from October 1994 to September 1997.

- Assistant Professor at the Department of Mathematics, Faculty

of Eduction, Salalah, Oman, from September 1997-July 2003.

-Associate Professor at the Dept. of Mathematics, Faculty of

Science, Cairo University, from October, 2002 to November, 2007.

-Professor at the Department of Mathematics, Faculty of Science,

Cairo University, since November, 2007.

- Visiting Professor at the Department of Mathematics, College of

Science, Sultan Qaboos University, Oman, June 2006 - Aug. 2006.

- Visiting Professor at the Department of Mathematics, College of

Science, Sultan Qaboos University, Oman, Sept. 2006 - Dec. 2006.

- Visiting Professor at the Department of Mathematics, College of

Science, Sultan Qaboos University, Oman, Sept. 2006 - Dec. 2006.

- Professor at the Department of Mathematics,Faculty of Science,

King Khalid University, KSA, Nov. 2009 - Jun. 2010.

-During the last semesters I taught many courses including

Numerical Analysis Using Matlab, Numerical Methods for Ordinary

and Partial Differential Equations Using Matlab, Finite Elements

Method; Theory and Applications, for the M.Sc. and Ph.D.

Students. Partial Differential Equations, Optimization;

Theory and Applications, Linear Algebra, Computational Methods

for Fluid Mechanics using FEM and FDM, and Calculus I, II, III,

Using Matlab. Optimal Control for differential equations .

-Teaching responsibilities include lecturing, supervising computer

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labs, problem solving classes and the preparation and correction of

final exams.

Languages : (in decreasing order of perfection) Arabic, English, German.

Programming Languages : Matlab, Mathematica, and Fortran.

Present Position: Head of Mathematics Department,

Faculty of Science, Cairo University.

- Professor of Numerical Analysis, Cairo University,

Faculty of Science, Department of Mathematics.

Thesis Supervision : (1) Ph.D. thesis entitled ” Geophysical Data Interpretation

Using New Optimization Techniques” 1996-2000,Faculty of

Science, Cairo Univ. (Student name: Maha Abd El-Azeem )

(2) Ph.D. thesis entitled ” Efficient numerical Methods for

Solving Coupled System of Partial Differential Equations.”

2003-2009 ,Faculty of Science, Banha University,

(Student name: Mohamed Meabed Bayomi )

(3) Ph.D. thesis entitled ” Numerical Solutions of the Coupled

Systems of Non- Linear Partial Differential Equations and their

Optimal Control”. 2006-2009 ,Faculty of Science, Cairo Uni.,

(Student name: Rabab Fadul Al-Bar )

(4) Ph.D. thesis entitled ” ”Numerical Studies for Linear and

Non- Linear Fractional Order Differential Equations and their

Optimal Control”. 2010- 2013,Faculty of Science, Zagazig Uni.,

(Student name: Amr Mahdy )

(5) Ph.D. thesis entitled ” Numerical studies for Anomalous

Subdiffusion equations,” 2011-2014,

Fac. of Science, Cairo Univ. (Student name: Mohamed Adel.)

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(6) Ph.D. thesis entitled ” Numerical Simulations of Some Real-

life Problems Modeled by Systems of Differential Equations,”

2012-, Fac. of Science, Cairo Univ. (Student: Taghreed Assiri.)

(7) M.Sc. thesis entitled ” On the Numerical Solutions of Ill-

Posed Problems”. 2005- 2007, Faculty of Science, Benha Univ.

(Student name: Abd-Elhamed Nagi )

(8) M.Sc. thesis entitled ” Effects of Current Variations on

Wave Fronts Near Steady States in an Excitable Medium”.

2003-2006, Faculty of Science, Cairo University

(Student name: Mohamed Safaa Mohamed Osman)

(9) M.Sc. thesis entitled ” Neural Networks and their

Mathematical Applications”, 2003-2006, Faculty of Science,

Cairo University. (Student name: Mohammad Sammany)

(10) M.Sc. thesis entitled ” Optimal control of variational

inequalities subjected to constrains”. 2006-2009 ,Faculty of Sci.,

Benha University. (Student name: Heba El Sayed Fathy )

(11) M.Sc. thesis entitled ” Discontinuous Galerkin Method

Coupled with Finite Element method for singular Problems”,

2007- 2011, Fac. of Science, Al-azhar Univ.,

(Student name: Fatma El Bahrawy)

(12) M.Sc. thesis entitled ” Hybrid Optimization Techniques

for Cancer Diagnosis Models.”. 2007- 2010 , Faculty of Science,

Cairo University. (Student name: Nermeen K. Abd-ElMoniem)

(13) M.Sc. thesis entitled ” Multigrid Finite Element Method

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for PDEs and their Optimal Control.”. 2007-2010 , Fac. of

Science, Cairo Uni. (Student name: Ayate M. Abu El-Khair.)

(14) M.Sc. thesis entitled ” Numerical studies for fractional

order differential and Integro-differential equations,” 2009-2011,

Fac. of Science, Cairo Univ. (Student name: Mohamed Adel.)

(15) M.Sc. thesis entitled ” Explicit Finite Difference

Approximations for Variable-Order Non-Linear

Fractional Differential equations”, 2009-2011, Fac. of Science,

Cairo Univ. (Student name: Hanan M. Almrawm)

(16) M.Sc. thesis entitled ” A Posteriori Error Estimation and

Adaptive Solutions for Variational Inequalities ”, 2009-2011,

Fac. of Science, Cairo Univ. (Student name: Faiz M. S. Atlan

(17) M.Sc. thesis entitled ” Pseudo-Spectral Solution for

Fractional Order Differential Equations ”,2010-2012 Fac. of

Science, Cairo Univ. (Student name: Taghreed Abd-Elrahman

(18) M.Sc. thesis entitled ” Adaptive Methods for the Numerical

Solution of State Constrained Optimal Control Problems

for Parabolic Variational Inequalities equations”, 2011-2014,

Fac. of Science, Cairo Univ. (Student name: Tamer Mostafa)

(19) M.Sc. thesis entitled ” Numerical Studies for Integral and

Integro-Differential Equations”, 2011-2013, Fac. of Science,

Mansoura Univ, Br. Damietta. (Student name: Wafaa Kota)

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(20) M.Sc. thesis entitled ” Numerical studies for fractional

-order delay differential equations .” 2011-,

Fac. of Science, Cairo Univ,(Student name: Negma Youns)

(21) M.Sc. thesis entitled ” Comparative Studies and

Developments of Different Methods for Image Restoration”,

2011-, Fac. of Science, Cairo Univ,(Student name: Amira Sayed)

(21) M.Sc. thesis entitled ” Numerical Studies for

Time Dependent Fractional Differential Equations”,

2012-2014, Fac. of Science, Cairo Univ,(Student name: Tebra

Faraj Ali Younis)

(21) M.Sc. thesis entitled ” Numerical Studies of Differential

Equations

” and their Applications in Financial Mathematics”,

2013-2014, Fac. of Science, Cairo Univ,(Student name: Muner

Mustafa Abou Hasan)

Memberships of Professional Organizations :

(1) Member and Reviewer of the American Mathematical Society

(AMS), Since 2003.

(2) Member of the Egyptian Mathematical Society, Since 1996.

Awarded Prizes :

Awarded Cairo University prize for the distinct researches in

Mathematics (2004).

Cairo University Award for Excellence ”Basic Science - in

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Mathematics”, (2012).

Important Scientific Activities:

(1) Associate editor (Research Journal of Mathematics and Statistics).

(2) Associate editor (Egyptian-Chinese of Computational and Applied

Mathematics, ISSN 2223-6457).

(3) Member in the Editorial board of the Mathematical and Physical

Society of Egypt Journal.

(4) Associate editor (Journal of Advanced Research

(5) Editor (Journal of Fractional Calculus and Applications

(6) Editor (the journal Mathematical Sciences Letter

(7) Referee for several International and National scientific Journals.

Attended Faculty and Leadership Development Workshops :

(1) Workshop on ’Credit Hours System’, Cairo University, 14-16 March, 2006.

(2) Workshop on ’Teaching Evaluation’ Cairo University, 22-24 January, 2007.

(3) Workshop on ’E-Learning’, Cairo University, 29-31 January, 2007.

(4) Workshop on ’Writing and International Publications for Research Articles’ Cairo

University, 5-7 February, 2007.

(5) Workshop on ’Using the New Technology in Eduction’, Cairo University, 12-14

February, 2007.

(6) Workshop on ’Development of Administrative Skills ’ Cairo University, 26-28 Febru-

ary, 2007.

(7) Workshop on Team Building for Team Leaders ’ DAAD, Cairo University, 15 Febru-

ary, 2012.

Research Interests :

(i) Computational fluid mechanics and thermoelasticity.

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(ii) Numerical simulation of nonlinear partial differential equations using finite elements

method.

(iii) Numerical solution of integral equations and integro-differential equations.

(iv) Numerical simulation of ill-posed systems.

(vi) Optimal control of variational inequalities and their numerical methods.

(vii) Optimization, theory and applications.

Projects:

(i) Coordinator of the research project title: ”Mathematical Modeling of Genetic Regula-

tory Networks in Bacterial and Higher Eukaryotic Cells”. This research project between

Joint Institute for Nuclear Research (JINR), Russia and Academy of Scientific Research

and Technology - ASRT, 2010-2011.

(ii) Coordinator of the research project title: ”Molecular Dynamics Research (MD sim-

ulation studies for the radiobiological problems.” This research project between Joint

Institute for Nuclear Research (JINR), Russia and Academy of Scientific Research and

Technology - ASRT, 2010-2011.

(iii) Coordinator of the research project title: ”Development of Grid segment at Cairo

University and its integration to the JINR GridEdu infrastructure”: This research

project between Joint Institute for Nuclear Research (JINR), Russia and Academy of

Scientific Research and Technology - ASRT, 2010-2012

Scientific committees:

I have participated in several committees including:

(1)Deputy Chairman of the National Committee for Mathematics, Academy of of Scien-

tific Research, Egypt, starting from October 2013.

(2) Member of the promotion committee of professors and associate Professors (mathe-

matics) Supreme Council of Universities - Egypt starting from July 2013.

(3) Reviewer in the promotion committee of professors and associate professors (mathe-

matics), Supreme Council of Universities - Egypt starting from 2009.

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(5) Member of the committee preparing the research plan for the University of Cairo

2011-2015.

(6) Deputy Director of the Center of Cairo University’s electronic services and knowledge

of the affairs of the development of management information systems in Feb. 2014.

(7) Director of the E- learning unit, Faculty of Science - Cairo University since, May

2011.

(8) Director of the Information Technology Unit, Faculty of Science - Cairo University

since January 2011.

(9) Member of the scientific projects by the Academy of Scientific Research with the

Joint Institute for Nuclear Physics Dubna - Russia 2010 .

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List Of Publications:

(1) N. H. Sweilam, A. M. Nagy, Adel A. El-Sayed, Second kind shifted

Chebyshev polynomials for solving space fractional order diffusion equation,

Chaos, Solitons & Fractals 73, (2015) 141-147.

(2) N. H. SWEILAM, T. A. ASSIRI, Non-Standard Crank-Nicholson Method

for Solving the Variable Order Fractional Cable Equation, Appl. Math. Inf.

Sci. 9, No. 2, 1-9 (2015).

(3) N. H. SWEILAM, S. A.Ghwail, Semi-Analytical Solution for the Multicell

Spheroid model for Vascular Tumor Growth, Math. Sci. Lett. 4, No. 1, 1-5

(2015).

(4) N. H. SWEILAM, T. F. Almajbri, Large Stability Regions Method for

the Two-dimensional Fractional Diffusion Equation, Progr. Fract. Differ.

Appl. 1, No. 2, 123-131 (2015).

(5) N. H. SWEILAM, S. M. AL-Mekhlafi, Comparative Study for Multi-

Strain Tuberculosis (TB) Model of Fractional Order, Accepted in Applied

Mathematics & Information Sciences, in Press 2015.

(6) N. H. Sweilam, A. M. Nagy, T. A. Assiri, N.Y.ALI, Numerical Simula-

tions for Variable-Order Fractional Nonlinear Delay Differential Equations,

Journal of Fractional Calculus and Applications, Vol. 6(1), pp. 71-82, Jan.

(2015).

(7) N. H. Sweilam, Hatem Moharram, Usama A. Badawi and Omnia Ismail,

Online Algorithm Based Fault Tolerance Scheme using Diskless Checkpoint-

ing for Solving Sparse Linear Systems, Accepted in Applied Mathematics

and Information Sciences, in Press (2015) 2)

(8) N. H. SWEILAM, A. M. NAGY, T. H. Farag and A. S. Abo-Elyazed1,

Comparative Studies for Different Image Restoration Methods, Math. Sci.

Lett. 4, No. 2, 1-8 (2015).

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(9) N. H. Sweilam, A.M.Nagy, An efficient method for solving fractional

Hodgkin-Huxley model, Physics Letters A 378, 19801984,(2014).

(10) N. H. Sweilam, M. M. Khader, A. M. S. Mahdy and N. K. Abdel

Moniem, Numerical Simulation for the Fractional SIRC Model and Influenza

A, Appl. Math. Inf. Sci. 8, No. 3, 1-8 (2014).

(11) Nasser SWEILAM, M. M. KHADER, M. ADEL, Weighted Average

Finite Difference Methods for Fractional Order Reaction-Subdiffusion Equa-

tion, Walailak Journal of Science and Technology (WJST), Vol 11, No 2-3

(2014).

(12) Nasser SWEILAM, S. A.Ghwail, Semi-analytical Solution for the Mul-

ticell Spheroid model for Vascular Tumor Growth, Math. Sci. Lett. 4, No.

1, 1-5 (2015).

(13) N. H. Sweilam, A. M. Nagy, T. F. Almajbri, Error Analysis of an Explicit

Finite Difference Approximation for the Two-Dimensional Space Fractional

Diffusion Equation, Journal of Fractional Calculus and Applications, Vol.

5(3S) No. 15, pp. 1-10, (6th. Symp. Frac. Calc. Appl. August 4, 2014).

(14) N. H. Sweilam, M. M. Khader, A. M. S. Mahdy , An approximate

analytical solution for system of non-linear fractional diffusion equations,

Jokull journal, Vol 64, No. 4;Apr 2014

(15) N. H. Sweilam T.M.Al-Ajmi R.H.W.Hoppe, Numerical Studies for Some

types of Fractional Optimal Control Problems, Scientific World Journal, Vol-

ume 2013, Article ID 306237, 9 pages

(16) Nasser SWEILAM, M. M. KHADER, M. ADEL, Weighted Average

Finite Difference Methods for Fractional Order Reaction-Subdiffusion Equa-

tion, Walailak Journal of Science and Technology (WJST), Vol 11, No 2-3

(2014).

(17) N. H. SWEILAM, M. M. RIZK, M. M. ABOU HASAN, Non-Uniform

Finite Difference Method for European and American Put Option Using

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Black -Scholes Model, Journal of Fractional Calculus and Applications, Vol.

5(3S) No. 17, pp. 1-11, (6th. Symp. Frac. Calc. Appl. August 4, 2014).

(18) N. H. Sweilam, M. M. Khader, A. M. S. Mahdy and N. K. Abdel

Moniem, Numerical Simulation for the Fractional SIRC Model and Influenza

A, Appl. Math. Inf. Sci. 8, No. 3, 1-8 (2014).

(19) N. H. Sweilam, Hatem Moharram, N. K. Abdel Moniem, and S. Ahmed,

”A Parallel Crank-Nicolson Finite Difference Method for Time-Fractional

Parabolic Equation”. Journal of Numerical Mathematics, Volume 22, Issue

4 (Dec 2014).

(20) N. H. Sweilam, M. M. Khader, and A. M. S. MAHDY, Numerical Study

for the Fractional Differential Equations Generated by Optimization Problem

Using Chebyshev Collocation Method and FDM, Appl. Math. Inf. Sci. 7,

No. 5, 2011-2018 (2013).

(21) N.H.Sweilam, M.M.Khader, On the approximate solutions for system

of fractional order integro-differential equations using Chebyshev pseudo-

spectral method, Applied Mathematical Modelling, 37 , 9819-9828, (2013).

(22) N.H.Sweilam, M.M.Khader, Approximate solutions for the fractional

advection-dispersion equation using Legendre pseudo-spectral method, Comp.

Appl. Math. DOI 10.1007/s40314-013-0091-x

(23) Oleg V. Belova, Ochbadrakh Chuluunbaatar , Mikhail I. Kapralova,

Nasser H. Sweilam, The role of the bacterial mismatch repair system in

SOS-induced mutagenesis: A theoretical background, Journal of Theoretical

Biology 332 (2013) 30-41.

(24) Kholmirzo Kholmurodov, Ermuhammad Dushanov, Kenji Yasuoka, Ha-

gar Hassan,Ahmed Galal, and Nasser Sweilam, Structural and Diffusional

Study of Pure Ethanol and Water on Pt (III) Surface Using Molecular Dy-

namics Simulation, Eur. Chem. Bull. 2013, 2(5), 247-254.

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(25) N.H.Sweilam, M.M.Khader, M.Adel, Numerical simulation of fractional

Cable equation of spiny neuronal dendrites, Journal of Advanced Research

5, 253-259, (2014).

(26) N. H. . Sweilam, T. A. Assiri, Numerical Simulations for the Space-

Time Variable Order Nonlinear Fractional Wave Equation, Journal of Applied

Mathematics, Volume 2013, Article ID 586870, 8 pages

(27) N. H. . Sweilam, , M.M.Khader, T. A. Assiri, On the Numerical Solution

for the fractional Wave Equation Using Legendre Pseudospectral Method,

International Journal of Pure and Applied Mathematics, Volume 84 No. 4

2013, 307-319.

(28) N. H. Sweilam, M. M. Khader, and W. Y. Kota, Numerical and Ana-

lytical Study for Fourth-Order Integro-Differential Equations Using a Pseu-

dospectral Method, Mathematical Problems in Engineering Volume 2013,

Article ID 434753, 7 pages

(29) N. H. . Sweilam, T. A. Assiri, Explicit Finite Difference Method for the

Fractional Non-Linear Wave Equation with the Riesz Fractional Derivative ,

International Journal of Mathematics and Computer Applications Research

(IJMCAR), Vol. 3, Issue 1, 2013, 193-202

(30) O. Belov, O. Chuluunbaatar, M. Kapralov, N. Sweilam, The role of the

bacterial mismatch repair system in SOS-induced mutagenesis: a theoretical

background. JINR Preprint E19-2012-96. 2012. 19 p.

(31) N. H. Sweilam, M. M. Khader, and A. M. S. MAHDY, NUMERI-

CAL STUDIES FOR SOLVING FRACTIONAL-ORDER LOGISTIC EQUA-

TION, International Journal of Pure and Applied Mathematics, Volume 78

No. 8 2012, 1199-1210.

(32) N. H. Sweilam, T. A. Assiri, Error Analysis of an Explicit Finite Differ-

ence Approximation for the Space Fractional Wave Equations, SQU Journal

for Science, 17(2) (2012) 245-253.

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(33) N. H. Sweilam, M. M. Khader, and A. M. S. MAHDY, Numerical

Studies for Solving Fractional Riccati Differential Equation, Applications and

Applied Mathematics: An International Journal, Vol. 7, Issue 2 (December

2012), pp. 595 - 608.

(34) N. H. Sweilam, M. M. Khader, and A. M. S. MAHDY, On the Numerical

Solution for the Linear Fractional Klien- Gordon Equation Using Legendre

Pseudo spectral Method, International Journal of Mathematics and Com-

puter Applications Research (IJMCAR), Vol. 2 Issue 4 Dec - 2012 1-10.

(35) N. H. Sweilam, M. M. Khader, and M. Adel , AN EFFICIENT CLASS

OF FDM BASED ON HERMITE FORMULA FOR SOLVING FRACTIONAL

REACTION-SUBDIFFUSION EQUATIONS, International Journal of Math-

ematics and Computer Applications Research (IJMCAR), Vol. 2 Issue 4 Dec

2012 61-75.

(36) N. H. Sweilam, M. M. Khader, and A. M. S. MAHDY, Numerical Stud-

ies for Fractional-Order Logistic Differential Equation with Two Different

Delays,” Journal of Applied Mathematics, vol. 2012, Article ID 764894, 14

pages, 2012.doi:10.1155/2012/764894.

(37) N. H. Sweilam , M. M. Khader , H. M. Almarwm, Numerical Studies

for the Variable Order Nonlinear Fractional Wave Equation, FCAA, Vol. 15,

No 4 (2012).

(38) N.H.Sweilam, H.M. Moharram, Sameh Ahmed, On the Parallel Iterative

Finite Difference Algorithm for 2-D Poisson’s Equation with MPI Cluster,

The 8th International Conference on Informatics and Systems (INFOS2012)

, IEEE Explore, 2012, 78-85.

(39) N. H. Sweilam, M. M. Khader, and M. Adel , On the Stability Analysis of

Weighted Average Finite Difference Methods for Fractional Wave Equation,

Fractional Differential Calculus, 2, 1 (2012), 17-29.

(40) N. H. Sweilam, M. M. Khader, and A.M.S. Mahdy , Computational

Methods for Fractional Differential Equations Generated by Optimization

20

Problem, Journal of Fractional Calculus and Applications, 3(S). July, 11,

2012.

(41) Kholmirzo Kholmurodov , Ermuhammad Dushanov , Kenji Yasuoka

d, Hagar Khalil, Ahmed Galal ,Sameh Ahmed , Nasser Sweilam , Hatem

Moharram , Molecular dynamics study of ethanol solvated by water on the

Pt (1 1 1) surface, Chemical Physics 402 (2012) 41-47.

(42) N. H. Sweilam, M. M. Khader, and W. Y. Kota, On the Numerical

Solution of Hammerstein Integral Equations using Legendre Approximation,

International Journal of Applied Mathematical Research, 1 (1), 65-76, 2012.

(43) N. H. Sweilam, M. M. Khader, and A.M.S. Mahdy, Crank −Nicolson

Finite Difference Method for Solving Time−Fractional Diffusion Equation,

Journal of Fractional Calculus and Applications, Vol. 2., No. 2, pp. 1-9,

Jan. (2012).

(44) N. H. Sweilam, M. M. Khader and A. M. Nagy, Numerical solution of

two-sided space fractional wave equation using finite difference method, Jour-

nal of Computational and Applied Mathematics 235, 2832− 2841, (2011).

(45) N. H. Sweilam, M. M. Khader, R. F. Al-Bar, Parameter Expansion

Method for Viscoelastic Motion with Fractional Order Damping, Nonlinear

Sci. Lett.A, Vol.2, No.3,159− 169, (2011).

(46) N.H. Sweilam and H.M. AL-Mrawm, On the Numerical Solutions of the

Variable Order Fractional Heat Equation,Studies in Nonlinear Sciences 2

(1): 31− 36, (2011).

(47) N. H. Sweilam, M. M. Khader , F. M. Atlan, Numerical Studies for

Singularly Perturbed Convection-Reaction-Diffusion Problems in Two Di-

mensions, Research Journal of Mathematics and Statistics 3(3):97 − 106,

(2011).

(48) N. H. Sweilam, M. M. Khader, and T. A. Assiri, Efficient Numeri-

cal Treatment for Fractional Partial Differential Equations, Nonlinear Sci.

Lett.A, Vol.2, No.4, 181− 189, (2011).

21

(49) N. H. Sweilam, M. M. Khader, and A.M.S. Mahd , An Efficient Numeri-

cal Method for Solving the Fractional Diffusion Equation, Journal of Applied

Mathematics & Bioinformatics, vol.1, no.2, 1-12, 2011.

(50) ) N. H. Sweilam, M. M. Khader,Semi Exact Solutions for Bi-Harmonic

Equations Using Homotopy Analysis Method, World Applied Sciences Jour-

nal 13: 01-07, 2011

(51) N.H. Sweilam, W. Mahmoud and E.K. Rawy, Numerical Study of Some

Systems of Linear Algebraic Equations with Noise Relatedto Boundary-value

Problems for Laplace’s Equation in Rectangular Domains, Studies in Non-

linear Sciences 2 (2): 60-69, 2011.

(52) N. H. Sweilam, Kholmirzo Kholmurodov, Ermuhammad Dushanov,

Kenji Yasuoka, Hagar Khalil, Ahmed Galal, Sameh Ahmed, Hatem Mo-

harram, Molecular dynamics simulation of the interaction of ethanol-water

mixture with a Pt surface, Natural Science, Vol.3, No.12, 1011-1021 (2011).

(53) N. H. Sweilam, A. A. Tharawat, N. K. Abdel Moniem, Support Vec-

tor Machine for Diagnosis Canser Disease: A Comparative Study, Egyptian

Informatics Journal ( by Elsevier) 11, 81− 92, (2010).

(54) N. H. Sweilam , M. M. Khader, F. T. Mohamed, ” Mohamed, On the

Numerical Solutions of Two Dimensional Maxwell’s Equations, Studies in

Nonlinear Sciences ” Studies in Nonlinear Sciences 1 (3): 82-88, (2010).

(55) N. H. Sweilam, M. M. Khader , ” A Chebyshev Pseudo-Spectral Method

for Solving Fractional Order Integro-Differential Equations, Accepted in ANZIAM

J. 51, 464-475(2010).

(56) N. H. Sweilam , M. M. Khader, Approximate solutions to the nonlinear

vibrations of multiwalled carbon nanotubes using Adomian decomposition

method, Applied Mathematics and Computation 217, 495− 505, (2010) .

(57) N. H. Sweilam , H. E. Fathy, ” On the Numerical Solution for Singularly

Perturbed Second-order ODEs” Studies in Nonlinear Sciences 1 (3): 89-96,

(2010).

22

(58) N. H. Sweilam , M. M. Khader, On the Convergence of Variational It-

eration Method for Nonlinear Coupled System of Partial Differential Equa-

tions, International Journal of Computer Mathematics,Volume 87, Issue

5, 1120-1130, (2010) .

(59) N. H. Sweilam, M. M. Khader, A note on He’s Parameter-Expansion

Method of Coupled Van der Pol-Duffing Oscillators , Applications and Ap-

plied Mathematics: An International Journal (AAM ), 1., 94-100, (2010).

(60) N. H. Sweilam, M. M. Khader, On the Existence and Properties of the

Positive Definite Solution of the Matrix Equation X = I + A∗√X−1A, Inter-

national Electronic Journal of Pure and Applied Mathematics, Volume 2

No. 4, 225-232, (2010).

(61) N. H. Sweilam, A. M. Nagy and M. H. Alnasr, Efficient Dynamical Sys-

tem Method for Solving Singularly Perturbed Integral Equations with Noise,

(Computers and Mathematics with Applications 58 (2009) 1418-1424 ).

(62) N. H. Sweilam , M. M. Khader, Application of He’s Parameter-expansion

Method for the Non-linear Differential Equations ,(International Journal of

Nonlinear Sciences and Numerical Simulation, 10 (2), 263-270, 2009).

(63) N. H. Sweilam, R.F. Al-Bar, Implementation of the Parameter-expansion

Method for the Coupled Van der Pol Oscillators, (International Journal of

Nonlinear Sciences and Numerical Simulation, 10 (2), 257-262, 2009).

(64) N. H. Sweilam , M. M. Khader, Exact Solutions of Some Coupled

Nonlinear Partial Differential Equations Using the Homotopy Perturbation

Method,( Comput. & Maths. with Applications, 58, 2134-2141, 2009 ).

(65) N. H. Sweilam , M. M. Khader, R. F. Al-Bar, Nonlinear Focusing Man-

akov Systems by Variational Iteration Method and Adomian Decomposition

Method, (Journal of Physics: Conference Series 96, 1-7, 2008 ).

(66) N. H. Sweilam , M. M. Khader, R. F. Al-Bar, On the Numerical Simu-

lation of Population Dynamics with Density-dependent Migrations and the

Allee Effects, (Journal of Physics: Conference Series 96, 1-10, 2008 ).

23

(67) N. H. Sweilam , M. M. Khader, R. F. Al-Bar, He’s Homotopy Perturba-

tion Method for Multi-Dimensional Nonlinear Coupled System of Parabolic

and Hyperbolic Equations, ( Topological Methods in Nonlinear Analysis,

Vol. 31, No.2, 295-304, 2008.)

(68) N. H. Sweilam , M. M. Khader, R. F. Al-Bar, Numerical studies for a

multi-order fractional differential equation, (Physics Letters A, 371, 26-33,

2007 ).

(69) N. H. Sweilam, M. M. Khader, R. F. Al-Bar, Homotopy Perturbation

Method for Linear and Nonlinear System of Fractional Integro-Differential

Equations, ( International Journal of Computational Mathematics and Nu-

merical Simulation (IJCMNS), Vol. 1, No. 1, 73-87, June 2008 ).

(70) N. H. Sweilam , K. El-Metwally , M. Abd El-Azeem , “ Self Potential

Signals Inversion to Simple polarized Bodies Using the Particle Swarm Opti-

mization Method: A visibility study, (J. Applied Geophysics by the Egyptian

Society of Applied Petrophysics (ESAP), 6-th volume March 2007.)

(71) N. H. Sweilam, M. Al-Lawatia, Numerical studies for one-dimensional

nonlinear coupled system of parabolic and hyperbolic equations, ( Interna-

tional Journal of Computational Mathematics and Numerical Simulation

(IJCMNS), Vol. 1, No. 1, 45-57, June 2008).

(72) N. H. Sweilam, M. M. Gobashy, T. Hashem , “ Particle swarm op-

timization techniques for depth determinations from gravity data, ( Proc.

Math. Phy. Soc. Egypt, Vol. 86, No. 2 , 259-281, 2008 ).

(73) N. H. Sweilam, Multi-Dimensional Nonlinear Coupled System of Parabolic

and Hyperbolic Equations by Variational Iteration Method and Adomian’s

method, ( International Journal of Computational Mathematics and Nu-

merical Simulation (IJCMNS), Vol. 1, No. 1, 13-31, June 2008 ).

(74) N. H. Sweilam, On the Numerical Solution for Deconvolution Prob-

lems with Noise, ( Australian Journal of Mathematical Analysis and Ap-

plications, Vol. 4, No. 2, 1-8, 2007) .

24

(75) N. H. Sweilam, Fourth-Order Integro-Differential Equations Using Vari-

ational Iteration Method, ( Computers and Mathematics with Applications

54, 1086- 1091, 2007 ) .

(76) N. H. Sweilam, R. F. Al-Bar, On the Numerical Simulation for A

System of Two Coupled Nonlinear Schrodinger Equations, ( Computers and

Mathematics with Applications 54, 993-999, 2007).

(77) N. H. Sweilam, A. M. Nagy, Numerical Studies on Dynamical System

Method for Solving Ill-Posed Problems with Noise. ( Australian Journal of

Mathematical Analysis and Applications, Vol. 4, No. 1, 1-7, 2007) .

(78) N. H. Sweilam, M. M. Khader, Application of Homotopy Perturbation

Method to A Nonlinear Focusing Manakov System, ( Proc. Math. Phys.

Soc. Egypt, 86,2, 245-257, (2008)).

(79) N. H. Sweilam, Variational Iteration Method for Solving Cubic Non-

linear Schrodinger Equation, (Journal of Computational and Applied Math-

ematics, 207, 155-163, (2007)).

(80) N. H. Sweilam, Harmonic Wave Generation in Non-linear Thermoe-

lasticity by Variational Iteration Method and Adomian’s Method, Journal

of Computational and Applied Mathematics, 207, 64-72, (2007).

(81) N. H. Sweilam, R.H.W. Hoppe, Y. Iliash , C. Iyyunni, A Posteriori

Error Estimates for Adaptive Finite Element Discretizations of Bound-

ary Control Problems, (Journal of Numerical Mathematics, 14, 1, 57-82,

(2006)).

(82) N. H. Sweilam, M. M. Khader Variational Iteration Method for Solv-

ing Cauchy Problem in in Non -linear Thermoelasticity, (Chaos, Solitions

and Fractals, 32, 145-149, (2007)).

(83) N. H. Sweilam, L. F. Abd-elal, A Computational Approach for Opti-

mal Control Systems Governed by Parabolic Variational Inequalities”, ( J.

Computational Mathematics, 21, 6, 815-824, (2003)).

25

(84) N. H. Sweilam, M. Abd El-Azeem, A.I. Bayoumi, A Hybrid Tech-

nique for Solving Gravity Inverse Problem, ( Proc. Math. Phys. Soc.

Egypt, 78, 39-66, (2003)).

(85) N. H. Sweilam, M. I. A. Othman, Electrohydrodynamics Instability

in a Horizontal Viscoelastic Fluid Layer in the Presence of Internal Heat

Generation, ( Canadian J. Of Physics, 80, 6, 697-705, (2002)).

(86) N. H. Sweilam, Conjugate Gradient Techniques for the Optimal Con-

trol Evolution Dam Problem , ( J. Difference Equations and applications,

6, 443-460, (2000)).

(87) N. H. Sweilam, On the Optimal Control of Evolution System of Earth

Dams, ( Proc. Math. Phys. Soc. Egypt. 75, 95-113, (2000)).

(88) N. H. Sweilam, On the Optimal Control of Time Dependent System of

Earth Dams, ( Pure Mathematics and Applications, 9, No. 3-4, 463-477,

(1998)).

(89) N. H. Sweilam, Numerical Solutions of the Optimal Control Time

Dependent System of Earth Dam, ( Proc. Math. Phys. Soc. Egypt, 73,

13-31, (1998)).

(90) N. H. Sweilam, Optimal Control of Parabolic Variational Inequalities,

the Evolution Dam, ( J. Numerical Functional Analysis and Optimization,

Vol. 18(7&8) 843-855 (1997)).

(91) N. H. Sweilam, Numerical Simulation of the Optimal Control Evolu-

tion Dam Problem, ( CALCOLO, 34, 1-4, 145-160 (1997)).

(92) N. H. Sweilam, Gradient-Type Algorithm for the Numerical Solu-

tion of the Optimal Control Time Dependent Dam Problem J. Faculty of

Eduction, Ain Shams Univ. Egypt. Special Issue for the first National

Conference of Mathematical and Physical Science and Applications, 91-

106(1995).

26