Legendre Multiwavelet Galerkin Method for Solving the Hyperbolic Telegraph Equation

被引：50

作者：

Yousefi, S. A. ^{[1
]}

机构：

[1] Shaheed Beheshti Univ, Dept Math, GC, Tehran, Iran

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2010年 / 26卷 / 03期

关键词：

Galerkin method; Legendre multiwavelet; second-order hyperbolic telegraph equation;

D O I：

10.1002/num.20445

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently, it is found that telegraph equation is more suitable than ordinary diffusion equation in modeling reaction diffusion for such branches of sciences. In this article a numerical method for solving the one-dimensional hyperbolic telegraph equation is presented. The method is based upon Legendre multiwavelet approximations. The properties of Legendre multiwavelet are first presented. These properties together with Galerkin method are then utilized to reduce the telegraph equation to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique. (C) 2009 Wiley Periodicals. Inc. Numer Methods Partial Differential Eq 26: 535-543, 2010

引用

页码：535 / 543

页数：9

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