THE NUMERICAL SOLUTION OF A SINGULARLY PERTURBED PROBLEM FOR SEMILINEAR PARABOLIC DIFFERENTIAL EQUATION

Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (11): 1047-1056.

THE NUMERICAL SOLUTION OF A SINGULARLY PERTURBED PROBLEM FOR SEMILINEAR PARABOLIC DIFFERENTIAL EQUATION

苏煜城, 沈全

Nanjing University, Nanjing

收稿日期:1990-10-11 出版日期:1991-11-18 发布日期:1991-11-18

THE NUMERICAL SOLUTION OF A SINGULARLY PERTURBED PROBLEM FOR SEMILINEAR PARABOLIC DIFFERENTIAL EQUATION

Su Yu-cheng, Shen Quan

Nanjing University, Nanjing

Received:1990-10-11 Online:1991-11-18 Published:1991-11-18

摘要/Abstract

摘要： The numerical solution of a singularly perturbed problem for the semilinear parabolic differential equation with parabolic boundary layers is discussed. A nonlinear two-level difference scheme is constructed on the special non-uniform grids. The uniform con vergence of this scheme is proved and some numerical examples are given.

关键词: semilinear parabolic differential equation, singularly perturbed problem, finite difference method, uniform convergence

Abstract: The numerical solution of a singularly perturbed problem for the semilinear parabolic differential equation with parabolic boundary layers is discussed. A nonlinear two-level difference scheme is constructed on the special non-uniform grids. The uniform con vergence of this scheme is proved and some numerical examples are given.

Key words: semilinear parabolic differential equation, singularly perturbed problem, finite difference method, uniform convergence

苏煜城;沈全. THE NUMERICAL SOLUTION OF A SINGULARLY PERTURBED PROBLEM FOR SEMILINEAR PARABOLIC DIFFERENTIAL EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(11): 1047-1056.

Su Yu-cheng;Shen Quan. THE NUMERICAL SOLUTION OF A SINGULARLY PERTURBED PROBLEM FOR SEMILINEAR PARABOLIC DIFFERENTIAL EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(11): 1047-1056.

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THE NUMERICAL SOLUTION OF A SINGULARLY PERTURBED PROBLEM FOR SEMILINEAR PARABOLIC DIFFERENTIAL EQUATION

THE NUMERICAL SOLUTION OF A SINGULARLY PERTURBED PROBLEM FOR SEMILINEAR PARABOLIC DIFFERENTIAL EQUATION

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