APPLICATIONS OF ELZAKI TRANSFORM TO ELECTRICAL...
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ASIO Journal of Chemistry, Physics, Mathematics & Applied Sciences (ASIO-JCPMAS)
Volume 4, Issue 1, 2020, 21-23
Doi: 10.2016-28457823/ DOI Link :: http://doi-ds.org/doilink/06.2020-33991644/
Pag
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APPLICATIONS OF ELZAKI TRANSFORM TO ELECTRICAL NETWORK CIRCUITS WITH DELTA FUNCTION
Dinesh Verma1, Rohit Gupta2
1Associate Professor of Mathematics, Department of Applied Sciences, Yogananda College of Engineering and Technology (YCET),
Jammu, India 2 Lecturer Physics, Department of Applied Sciences, Yogananda College of Engineering and Technology (YCET), Jammu, India
ARTICLE INFO ABSTRACT
Article History Received: 1st May, 2020 Accepted: 30th May, 2020
Corresponding Author: † Dr. Dinesh Verma Email:[email protected]
The electrical network circuits with delta function are generally solved by
adopting Laplace transform method. The paper inquires the electrical network
circuits with delta function by Elzaki transform technique. The purpose of paper
is to prove the applicability of Elzaki transform to analyze electrical network
circuits with delta function.
Keywords: Elzaki Transform, Electrical Network Circuit, Delta Function.
© www.albertscience.com, All Right Reserved. † Associate Professor, Yogananda
College of Engineering & Technology, Jammu
1. INTRODUCTION Elzaki Transform approach has been applied in solving boundary value problems in most of the science and engineering disciplines [1-7]. It also comes out to be very effective tool to analyze the boundary value problems in engineering and science which are generally solved by adopting different integral transforms and methods [8- 30]. It also comes out to be very effective tool to analyze the electrical network circuits with delta function. In this paper, a new approach called Elzaki transform technique is presented to analyze electrical network circuits with delta function.
2. BASIC DEFINITIONS
2.1 Elzaki Transform If the function y ≥ 0 is having an exponential order
and is a piecewise continuous function on any interval,
then the Elzaki transform of is given by
The Elzaki Transform [1, 2, 3] of some of the functions
are given by
2.2 Inverse Elzaki Transform
The Inverse Elzaki Transform of some of the functions
are given by
E-1{ } =
E-1{ } =
E-1{ }=
E-1{ } =
E-1{ }=
E-1{ } =
Dinesh Verma et al. / ASIO Journal of Chemistry, Physics, Mathematics & Applied Sciences (ASIO-JCPMAS), 4(1), 2020: 21-23
Doi: 10.2016-28457823/ DOI Link :: http://doi-ds.org/doilink/06.2020-33991644/
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2.3 Elzaki Transform of Derivatives
The Elzaki Transform [1, 2, 3] of some of the Derivatives
of are given by
APPLICATION I:
E{
APPLICATION II:
E {
APPLICATION III:
3. CONCLUSION In this paper, we have analyzed the electrical network
circuits with delta function by Elzaki Transform
technique. It may be finished that the technique is
accomplished in analyzing the electrical network circuits
with delta function.
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Dinesh Verma et al. / ASIO Journal of Chemistry, Physics, Mathematics & Applied Sciences (ASIO-JCPMAS), 4(1), 2020: 21-23
Doi: 10.2016-28457823/ DOI Link :: http://doi-ds.org/doilink/06.2020-33991644/
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[22] Dinesh Verma ,Applications of Laplace Transformation for solving Various Differential equations with variable co-efficient, International Journal for Innovative Research in Science and Technology (IJIRST), Volume-4, Issue-11, April 2018, pp. 124-127.
[23] Rohit Gupta, Dinesh Verma and Amit Pal Singh, Double Laplace Transform Approach to the Electric Transmission Line with Trivial Leakages through electrical insulation to the Ground, Compliance Engineering Journal, Volume 10, Issue 12, December 2019, pp. 301-304.
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[25] Rohit Gupta, Rahul Gupta, Dinesh Verma, Laplace Transform Approach for the Heat Dissipation from an Infinite Fin Surface, Global Journal Of Engineering Science And Researches, 6(2) February 2019, pp. 96-101.
[26] Rahul Gupta, Rohit Gupta, Dinesh Verma, Total scattering cross-section of Low Energy Particles Scattered by Perfectly Rigid Sphere, Compliance Engineering Journal, Volume 10, Issue 12, 2019, pp. 477-479.
[27] Rahul Gupta, Rohit Gupta, Dinesh Verma, Application of Convolution Method to the Impulsive Response of A Lightly Damped Harmonic Oscillator, International Journal of Scientific Research in Physics and Applied Sciences ,Vol.7, Issue.3, pp. 173-175, June 2019.
[28] Rohit Gupta, Loveneesh Talwar, Dinesh Verma, Exponential Excitation Response of Electric Network Circuits via Residue Theorem Approach, International Journal of Scientific Research in Multidisciplinary Studies, volume 6, issue 3, March 2020, pp. 47-50.
[29] Rahul Gupta, Rohit Gupta, Dinesh Verma, “Propounding a New Integral Transform: Gupta Transform with Applications in Science and Engineering”, International Journal of Scientific Research in Multidisciplinary Studies, volume 6, issue 3, March 2020, pp. 14-19.
[30] Dinesh Verma, “Putting Forward a Novel Integral Transform: Dinesh Verma Transform (DVT) and Its Applications”, International Journal of Scientific Research in Multidisciplinary Studies, Volume 7, Issue 2, April 2020, pp. 139-145.