A compact method for second-order boundary value problems on nonuniform grids

被引：9
|
作者：
Pettigrew, MF
Rasmussen, H
机构：
[1] Department of Applied Mathematics, University of Western Ontario, London, Ont.
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1996年 / 31卷 / 09期
基金：
加拿大自然科学与工程研究理事会;
关键词：
compact finite differences; nonuniform grid; boundary value problem;
D O I：
10.1016/0898-1221(96)00037-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A compact finite difference procedure is developed for the numerical solution of second-order two point boundary value problems with mixed boundary conditions. The procedure is applied to a series of linear and nonlinear problems on both uniform and nonuniform grids. In all cases the global estimates of the rate of convergence tend to four. In the last part of the paper, the procedure is extended to a nonlinear partial differential equation, Burger's equation.
引用
收藏
页码：1 / 16
页数：16
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