A new approach of the Chebyshev wavelets method for partial differential equations with boundary conditions of the telegraph type

In this paper, we develop an accurate and efficient Chebyshev wavelets method for solution of partial differential equations with boundary conditions of the telegraph type. In the proposed method we have employed mutually the operational matrices of integration and differentiation to get numerical s...

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Bibliographic Details
Published in:Applied mathematical modelling 2014-03, Vol.38 (5-6), p.1597-1606
Main Authors: Heydari, M.H., Hooshmandasl, M.R., Maalek Ghaini, F.M.
Format: Article
Language:English
Subjects:
Boundary conditions
Chebyshev approximation
Chebyshev wavelets
Mathematical analysis
Mathematical models
Matrices (mathematics)
Operational matrix of differentiation
Operational matrix of integration
Partial differential equations
Telegraph equation
Wavelet
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Summary:In this paper, we develop an accurate and efficient Chebyshev wavelets method for solution of partial differential equations with boundary conditions of the telegraph type. In the proposed method we have employed mutually the operational matrices of integration and differentiation to get numerical solutions of such equations. The power of this manageable method is confirmed. Moreover the use of Chebyshev wavelet is found to be accurate, simple and fast.
ISSN:0307-904X
DOI:10.1016/j.apm.2013.09.013