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计算数学  1992 

THE NUMERICAL METHODS FOR SOLVINC THE FIRST BOUNDARY VALUE PROBLEM OF THE SECONDORDER ELLIPTIC PARTIAL DIFFERENTIAL EQUATION WITH TWO SMALL PARAMETERS
带有两个小参数的二阶椭圆型偏微分方程第一边值问题的数值解法

Keywords: 偏微分方程,椭圆型,第一边值

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Abstract:

By use of singular perturbation theory, a difference scheme for the first boundary valueproblem of the second-order elliptic partial differential equation with two small parametersis constructed, and the numerical solution is proved to converge to the solution of the singularperturbation problem uniforly with respect to the small parameters. A numerical example isgiven. The numerical results are in accordance with the theoretical analysis.

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