Numerical solution of the one-dimensional wave equation with an integral condition

被引：61

作者：

Saadatmandi, Abbas

Dehghan, Mehdi

机构：

[1] Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran, Iran

[2] Kashan Univ, Dept Math, Fac Sci, Kashan, Iran

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2007年 / 23卷 / 02期

关键词：

hyperbolic partial differential equation; nonlocal boundary condition; shifted Legendre tau method; operational matrix;

D O I：

10.1002/num.20177

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The hyperbolic partial differential equation with an integral condition arises in many physical phenomena. In this research a numerical technique is developed for the one-dimensional hyperbolic equation that combine classical and integral boundary conditions. The proposed method is based on shifted Legendre tau technique. Illustrative examples are included to demonstrate the validity and applicability of the presented technique. (c) 2006 Wiley Periodicals, Inc.

引用

页码：282 / 292

页数：11

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