Double ultraspherical solution of eigenvalue problems for partial differential equations

Particular spectral method based on an expansion in double ultraspherical polynomials is proposed to solve a number of eigenvalue problems defined by partial differential equations with constant and variable coefficients.We obtain comparable results with those computed by Liu and Oritz [14] by using...

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Vydané v:International journal of computer mathematics Ročník 78; číslo 2; s. 289 - 301
Hlavný autor: El-Hawary, H.M.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Abingdon Gordon and Breach Science Publishers 01.01.2001
Taylor and Francis
Predmet:
1.6
49M
Approximation by ultraspherical polynomials
Calculus of variations and optimal control
Eigenvalue problems
Exact sciences and technology
Integral equations
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations
Partial differential equations, boundary value problems
Sciences and techniques of general use
Spectral methods
Spectral method
Boundary value problem
Approximation method
Chebyshev polynomial
Numerical method
Eigenvalue problem
Partial differential equation
Legendre polynomial
Orthogonal polynomial
Numerical result
Ultraspherical polynomial
Result
ISSN:0020-7160, 1029-0265
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Popis
Shrnutí:Particular spectral method based on an expansion in double ultraspherical polynomials is proposed to solve a number of eigenvalue problems defined by partial differential equations with constant and variable coefficients.We obtain comparable results with those computed by Liu and Oritz [14] by using Tau-Lines method, El-Hawary [8] by using El-Gendi-Lines method, El-Hawary [7] by using double Chebyshev approximation and Brandt et al.[1] by using multigrid method.
ISSN:0020-7160
1029-0265
DOI:10.1080/00207160108805111