Double chebyshev solution of eigenvalue problems for partial differential equations

Particular spectral method based on an expansion in double Chebyshev 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 Ortiz [3] by using Tau-...

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Bibliographic Details
Published in:International journal of computer mathematics Vol. 54; no. 3-4; pp. 197 - 206
Main Author: El-Hawary, H. M.
Format: Journal Article
Language:English
Published: Gordon and Breach Science Publishers S.A 01.01.1994
Subjects:
Chebyshev approximation
eigenvalue problem
G.1.2
G.1.8
partial differential equations
ISSN:0020-7160, 1029-0265
Online Access:Get full text
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Summary:Particular spectral method based on an expansion in double Chebyshev 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 Ortiz [3] by using Tau-Lines method and El-Hawary [4] by using El-Gendi-Lines method and Brandt et al. [5] by using multigrid methods.
ISSN:0020-7160
1029-0265
DOI:10.1080/00207169408804351