聊城大学学报：自然科学版
聊城大學學報：自然科學版
료성대학학보：자연과학판
Journal of Liaocheng University:Natural Science Edition
2012年
4期
23-26
,共4页
KdV方程%隐式差分格式%数值算例
KdV方程%隱式差分格式%數值算例
KdV방정%은식차분격식%수치산례
KdV equation%Implicit difference scheme%numerical example
研究了非线性KdV方程周期边界问题的差分方法，基于Crank—Nicolson方法，建立了一个两层线性化隐式差分格式，数值算例验证了分析结果．
研究瞭非線性KdV方程週期邊界問題的差分方法，基于Crank—Nicolson方法，建立瞭一箇兩層線性化隱式差分格式，數值算例驗證瞭分析結果．
연구료비선성KdV방정주기변계문제적차분방법，기우Crank—Nicolson방법，건립료일개량층선성화은식차분격식，수치산례험증료분석결과．
A Crank-Nicolson difference scheme for the boundary problem of KdV equation is presented. It is a topic to study the numerical methods for the Burgers equation. The scheme constructed in this paper is a two-level and linearized scheme that can be easily solved. Some numerical experiments are conducted to illustrate the theoretical results of the presented method.
