Numerical solution of hyperbolic telegraph equation using the Chebyshev tau method |
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| Authors: | Abbas Saadatmandi Mehdi Dehghan |
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| Institution: | 1. Department of Mathematics, Faculty of Science, University of Kashan, Kashan, Iran;2. Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran |
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| Abstract: | 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 |
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| Keywords: | Chebyshev polynomials hyperbolic equation operational matrix Tau method telegraph equation |
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