Numerical Solution of Hyperbolic Telegraph Equation Using the Chebyshev Tau Method

被引：140
|
作者：
Saadatmandi, Abbas [2 ]
Dehghan, Mehdi [1 ]
机构：
[1] Amir Kabir Univ Technol, Dept Appl Math, Fac Math & Comp Sci, Tehran, Iran
[2] Univ Kashan, Dept Math, Fac Sci, Kashan, Iran
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2010年 / 26卷 / 01期
关键词：
Chebyshev polynomials; hyperbolic equation; operational matrix; Tau method; telegraph equation; VARIABLE-COEFFICIENTS; INTEGRAL CONDITION; GORDON EQUATION; WAVE-EQUATION; SUBJECT; SERIES; APPROXIMATIONS; ERROR;
D O I：
10.1002/num.20442
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2009 Wiley Periodicals, Inc. Numer Methods partial Differential EN 26:239-252, 2010
引用
收藏
页码：239 / 252
页数：14
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