Legendre Equations

2
LEGENDRE POLYNOMIALS

description

jbjh

Transcript of Legendre Equations

Page 1: Legendre Equations

LEGENDRE POLYNOMIALS

Page 2: Legendre Equations

• Solutions to Legendre’s Differential Equation

• Occurs when solving Laplace Equations in Spherical Coordinates

• Introduced by Adrien-Marie Legendre in 1782: Newtonian Potential

• Expressed using Rodrigues’ formula

• Useful in calculating gravitational potential/Coulomb potential over a mass/charge distribution.


Kumbakonam – 612 001 P.G. – Revised Course Structure … · 2016-03-05 · Legendre, Bessel, Laugerre and Hermite differential equations : series solution – Rodriguez formula

Kumbakonam – 612 001 P.G. – Revised Course Structure … · 2016-03-05 · Legendre, Bessel, Laugerre and Hermite differential equations : series solution – Rodriguez formula

Random regression models using Legendre orthogonal ... · Random regression models using Legendre orthogonal polynomials to ... using Legendre orthogonal polynomials to evaluate Alpine

Random regression models using Legendre orthogonal ... · Random regression models using Legendre orthogonal polynomials to ... using Legendre orthogonal polynomials to evaluate Alpine

Polinomios Legendre

Polinomios Legendre

Syllabus of B. Tech. Mechanical Engineering (De sign … complete...Power series solution of ordinary differential equations and Singular points Bessel and Legendre differential equations;

Syllabus of B. Tech. Mechanical Engineering (De sign … complete...Power series solution of ordinary differential equations and Singular points Bessel and Legendre differential equations;

Legendre - Temporal eigenfunction methods

Legendre - Temporal eigenfunction methods

1 Introduction 2 Legendre Equation€¦ · their main properties and some applications are presented. 2 Legendre Equation Legendre polynomial is used in many different mathematical

1 Introduction 2 Legendre Equation€¦ · their main properties and some applications are presented. 2 Legendre Equation Legendre polynomial is used in many different mathematical

Numerical Ecology - Legendre & Legendre - 1998 2ed

Numerical Ecology - Legendre & Legendre - 1998 2ed

Legendre Function

Legendre Function

Sgp legendre

Sgp legendre

AN ACCURATE LEGENDRE COLLOCATION SCHEME FOR … · 2 Accurate Legendre collocation scheme for coupled hyperbolic equations 409 [27–29] and function approximation and variational

AN ACCURATE LEGENDRE COLLOCATION SCHEME FOR … · 2 Accurate Legendre collocation scheme for coupled hyperbolic equations 409 [27–29] and function approximation and variational

Chap6 Series Bessel Legendre

Chap6 Series Bessel Legendre

Legendre Polynomials.pdf

Legendre Polynomials.pdf

ME 401 Legendre Polynomials

ME 401 Legendre Polynomials

Legendre pseudospectral computation of optimal speed ......strategies using Legendre pseudospectral method, and to implement the method by developed a universal solver in Legendre

Legendre pseudospectral computation of optimal speed ......strategies using Legendre pseudospectral method, and to implement the method by developed a universal solver in Legendre

Extended Abstract Legendre Polynomials

Extended Abstract Legendre Polynomials

Reconstruction of sparse Legendre and Gegenbauer expansionspotts/paper/legendreexp.pdf · Reconstruction of sparse Legendre and Gegenbauer expansions 1021 2 Properties of Legendre

Reconstruction of sparse Legendre and Gegenbauer expansionspotts/paper/legendreexp.pdf · Reconstruction of sparse Legendre and Gegenbauer expansions 1021 2 Properties of Legendre

Alltern Legendre 000

Alltern Legendre 000

Legendre Scale Talk

Legendre Scale Talk

NUMERICAL TREATMENT OF COUPLED NONLINEAR HYPERBOLIC KLEIN-GORDON EQUATIONS · 2019. 4. 5. · 3 Numerical treatment of coupled nonlinear hyperbolic Klein-Gordon equations 249 Legendre,

NUMERICAL TREATMENT OF COUPLED NONLINEAR HYPERBOLIC KLEIN-GORDON EQUATIONS · 2019. 4. 5. · 3 Numerical treatment of coupled nonlinear hyperbolic Klein-Gordon equations 249 Legendre,

Numerical solution of two-dimensional nonlinear Volterra integral … · dimensional nonlinear Volterra integral equations u sing Legendre orthogonal polynomials. First, the two-dimensional

Numerical solution of two-dimensional nonlinear Volterra integral … · dimensional nonlinear Volterra integral equations u sing Legendre orthogonal polynomials. First, the two-dimensional