摘要
如何数值求解抛物型方程,已经成为各个领域非常重视的课题,特别是非线性抛物型方程的数值解.本文利用半网格点构造差分格式,求解了一类非线性抛物型方程,给出误差分析,数值算例证实该方法是一有效方法.
How to solve the parabolic equations successfully has been attached importance to by all kinds of fields. The very important thing is the numerical solution of nonlinear parabolic equations. In this paper, a half grid point is used to build a difference method. It is used to approximate for the solution a kind of the parabolic partial differential equation and error of the method is determined. The absolute errors of some numerical examples show the difference method is effective.
出处
《内蒙古工业大学学报（自然科学版）》
2006年第2期81-84,共4页
Journal of Inner Mongolia University of Technology：Natural Science Edition
基金
内蒙古教育厅资助项目
关键词
差分方法
抛物型方程
绝对误差
difference method
Parabolic equation
absolute error
