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守恒型奇摄动常微分方程混合边值问题的数值解法
引用本文:蔡新 林鹏程. 守恒型奇摄动常微分方程混合边值问题的数值解法[J]. 华侨大学学报(自然科学版), 1990, 11(4): 344-352
作者姓名:蔡新 林鹏程
作者单位:华侨大学,福州大学
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.

关 键 词:守恒方程 常微分方程 数值解法 边?

Numerical Solution to Conservative Form and Singular Perturbed Ordinary Differential Equation with Mixed Boundary Condition
Cal xin. Numerical Solution to Conservative Form and Singular Perturbed Ordinary Differential Equation with Mixed Boundary Condition[J]. Journal of Huaqiao University(Natural Science), 1990, 11(4): 344-352
Authors:Cal xin
Affiliation:Cal xin (Huaqiao University) Lin Pencheng (Fuzhou University)
Abstract: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.
Keywords:conservation equations  ordinary differential equatiens  singular perturbation  compound boundary  uniform convergence
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