Numerical study of a nonlinear integrodifferential equation

被引：0
|
作者：
Yong, Z [1 ]
机构：
[1] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 1998年 / 19卷 / 11期
关键词：
integrodifferential equation; spectral method; solitary waves;
D O I：
10.1007/BF02459194
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, by using the pseudo-spectral method of Fornberg and Whitham, a nonlinear intergrodifferential equations A(t) + 6AA(x) + 1/2\In epsilon\ integral (+infinity)(-infinity) A(x', t(.))/{(x' - x)(2) + epsilon(2)}(-1/2) dx' = 0 is investigated numerically. It is found that for small epsilon, the result is close to that of the KdV equation, whereas the effects of larger epsilon and the initial condition are significant.
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页码：1059 / 1063
页数：5
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