A SINGULAR PERTURBATION PROBLEM FOR PERIODIC BOUNDARY PARTIAL DIFFERENTIAL EQUATION

被引：0
|
作者：
林鹏程
江本铦
机构：
[1] Fuzhou
[2] Fuzhou University
来源：
Applied Mathematics and Mechanics(English Edition) | 1991年 / 03期
关键词：
elliptic-parabolic partial differential equation; singular perturbation problem; periodic boundary; difference scheme; uniform convergence;
D O I：
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学科分类号：
摘要：
In this paper,we consider a singular perturbation elliptic-parabolic partial differentialequation for periodic boundary value problem,and construct a difference scheme.Using themethod of decomposing the singular term from its solution and combining an asymptoticexpansion of the equation,we prove that the scheme constructed by this paper convergesuniformly to the solution of its original problem with O(τ+h~2).
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页码：281 / 290
页数：10
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