Numerical solution of hyperbolic telegraph equation using the Chebyshev tau method

In this article we propose a numerical scheme to solve the one‐dimensional hyperbolic telegraph equation. The method consists of expanding the required approximate solution as the elements of shifted Chebyshev polynomials. Using the operational matrices of integral and derivative, we reduce the prob...

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Bibliographic Details
Published inNumerical methods for partial differential equations Vol. 26; no. 1; pp. 239 - 252
Main Authors Saadatmandi, Abbas, Dehghan, Mehdi
Format Journal Article
LanguageEnglish
Published Hoboken Wiley Subscription Services, Inc., A Wiley Company 01.01.2010
Subjects
Chebyshev polynomials
hyperbolic equation
operational matrix
Tau method
telegraph equation
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ISSN0749-159X
1098-2426
DOI10.1002/num.20442

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Summary:In this article we propose a numerical scheme to solve the one‐dimensional hyperbolic telegraph equation. The method consists of expanding the required approximate solution as the elements of shifted Chebyshev polynomials. Using the operational matrices of integral and derivative, we reduce the problem to a set of linear algebraic equations. Some numerical examples are included to demonstrate the validity and applicability of the technique. The method is easy to implement and produces very accurate results. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2010
Bibliography:istex:4B833C11441BDD1CB8397B2677B5CDFCEDE0BCB9
ark:/67375/WNG-0WRD17KV-T
ArticleID:NUM20442
ISSN:0749-159X
1098-2426
DOI:10.1002/num.20442