Analytical numerical method for solving nonlinear partial differential equations

被引：1
|
作者：
Arafa, ARA
机构：
[1] Cleveland State University, Fenn College of Engineering, Cleveland, OH 44114
来源：
APPLIED MATHEMATICS LETTERS | 1996年 / 9卷 / 04期
关键词：
partial differential equations; analytical-numerical method; convergence; physical systems; step integration method;
D O I：
10.1016/0893-9659(96)00062-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new technique for solving partial differential equations has been developed and tested. The technique uses step integration over a small interval of the independent variable after applying the finite difference for the partial derivatives. The integration is carried out for each element while using average values for the neighboring elements. These values are modified by iteration. The technique is used here for solving Burgers' equation. The results demonstrate excellent agreement with that of the exact solution.
引用
收藏
页码：115 / 122
页数：8
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