Highly accurate method for solving initial boundary value problem for first order hyperbolic differential equations

被引：8

作者：

Ismail, HNA ^{[1
]}

Elbarbary, EME

Younes, AYH

机构：

[1] Benha Higher Inst Technol, Benha, Egypt

[2] Ain Shams Univ, Dept Math, Cairo, Egypt

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2001年 / 77卷 / 02期

关键词：

finite difference; hyperbolic equations; restrictive pade' approximation;

D O I：

10.1080/00207160108805063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Restrictive Taylor approximation is a new approach similar to Restrictive Pade' approximation mentioned in [2] is proposed. An explicit method for solving a first order wave equation is treated. The suggested method is of high accuracy whatever the exact solution is too large. It treats also the discontinuous behavior of the initial data for the function or its derivative. The stability condition and comparison between the considered method and Lax - Wendroff method are discussed.

引用

页码：251 / 261

页数：11