摘要
本文采用Ｆｏｒｎｂｅｒｇ和Ｗｈｉｔｈａｍ的拟谱方法，数值研究了一个非线性积分微分方程的初值问题：Ａｔ＋６ＡＡｘ＋１２｜ｌｎε｜∫＋∞－∞Ａ（ｘ′，ｔ）（ｘ′－ｘ）２＋ε２｛｝１／２ｄｘ′＝０发现当ε很小时，其解与ＫｄＶ方程的解接近·较大的ε和初始条件对解的影响是很大的·
In this paper, by using the pseudo_spectral method of Fornberg and Whitham, a nonlinear integro_differential equations A t+6AA x+12| ln ε|∫ +∞ -∞ A(x′,t)(x′-x) 2+ε 2 1/2 dx′=0 is investigated numerically. It is found that for small ε, the result is close to that of the KdV equation, but the effects of lager ε and the initial condition are significant.
出处
《应用数学和力学》
CSCD
北大核心
1998年第11期981-985,共5页
Applied Mathematics and Mechanics
