Open AccessOrthogonal Functions Solving Linear functional Differential EquationsUsing Chebyshev Polynomial
Author(s) -
Baghdad Science Journal
Publication year - 2008
Publication title -
mağallaẗ baġdād li-l-ʿulūm
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.167
H-Index - 6
eISSN - 2411-7986
pISSN - 2078-8665
DOI - 10.21123/bsj.5.1.143-148
Subject(s) - chebyshev polynomials , mathematics , chebyshev nodes , chebyshev equation , equioscillation theorem , galerkin method , chebyshev filter , chebyshev iteration , chebyshev pseudospectral method , mathematical analysis , orthogonal functions , basis function , orthogonal polynomials , classical orthogonal polynomials , gegenbauer polynomials , nonlinear system , physics , quantum mechanics
A method for Approximated evaluation of linear functional differential equations is described. where a function approximation as a linear combination of a set of orthogonal basis functions which are chebyshev functions .The coefficients of the approximation are determined by (least square and Galerkin’s) methods. The property of chebyshev polynomials leads to good results , which are demonstrated with examples.