应用数学2012，Vol.25Issue(3)：570-576,7.
一类变系数微分方程差分格式的收敛性
Convergence of the Difference Scheme for a Class Differential Equations with Variable Coefficients
摘要
Abstract
In this paper,the finite difference scheme for a class differential equations with variable coefficients is presented.The convergence and uniqueness of the solution for the scheme are proved by means of theories on matrix eigenvalue and norm.The numerical example shows that the scheme is very simple to implement and efficient.This method can be applied to the study of higher-order and some nonlinear differential equations problems.关键词
收敛性/差分格式/变系数微分方程/总体截断误差Key words
Convergence / Difference scheme/ Differential equation with variable coefficient/ Total truncation error分类
数理科学引用本文复制引用
徐琛梅,菅帅,王波..一类变系数微分方程差分格式的收敛性[J].应用数学,2012,25(3):570-576,7.基金项目
Foundation item:Supported by the Natural Science Foundation of the Education Department of Henan Province(2010A100003) and the National Natural Science Foundation of China(40805020) （2010A100003）
