守恒型奇摄动常微分方程混合边值问题的数值解法  

Numerical Solution to Conservative Form and Singular Perturbed Ordinary Differential Equation with Mixed Boundary Condition

作　　者：蔡新[1] 林鹏程[2] 

机构地区：[1]华侨大学 [2]福州大学

出　　处：《华侨大学学报（自然科学版）》1990年第4期344-352,共9页Journal of Huaqiao University(Natural Science)

摘　　要：本文考虑守恒型奇摄动常微分方程混合边值问题的数值解法,构造一个非守恒型差分格式,证明该格式一阶一致收敛.对第一边值问题,改进了文[1]的结果.A numerical solution is presented by the authorsto the conservative form and singular perturded ordinary differential equation with mixed boundary condition.To this end,a non-conservative form differeuce scheme is con- structed The scheme is proved to be uniformly converged to the so- lution of differential equation in order one.For the first boundary value problem, the result of literature hes got its improvement.

关 键 词：守恒方程 常微分方程 奇摄动 混合边界 一致收敛 

分 类 号：O241.81[理学—计算数学]