THE DECOMPOSITION METHOD FOR APPROXIMATE SOLUTION OF THE GOURSAT PROBLEM

被引：40

作者：

WAZWAZ, AM

机构：

[1] Department of Mathematics, Computer Science Saint Xavier University Chicago

来源：

APPLIED MATHEMATICS AND COMPUTATION | 1995年 / 69卷 / 2-3期

关键词：

D O I：

10.1016/0096-3003(94)00137-S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the Adomian's decomposition method is effectively implemented to establish an analytic solution and a reliable numerical approximation to the Goursat partial differential equation. Linear and nonlinear Goursat examples are examined, and the method supplied quantitatively reliable results for these types of problems. The accuracy level of the results obtained indicates the superiority of the decomposition method over existing numerical methods that were applied to the Goursat problem.

引用

页码：299 / 311

页数：13

共 9 条

[1] A REVIEW OF THE DECOMPOSITION METHOD IN APPLIED-MATHEMATICS [J].