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

Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (6): 497-506.

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

苏煜城, 沈全

Department of Mathematics, Nanjing University, Nanjing

收稿日期:1991-07-25 出版日期:1992-06-18 发布日期:1992-06-18

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

Su Yu-cheng, Shen Quan

Department of Mathematics, Nanjing University, Nanjing

Received:1991-07-25 Online:1992-06-18 Published:1992-06-18

摘要/Abstract

摘要： We consider the numerical solution of a singularly perturbed problem for the quasilinear parabolic differential equation, and construct a linear three-level finite difference scheme on a nonuniform grid. The uniform convergence in the sense of discrete L2 norm is proved and numerical examples are presented.

关键词: quasilinear parabolic difTerential equation, singular perturbation, linear three-level difference scheme, uniform convergence

Abstract: We consider the numerical solution of a singularly perturbed problem for the quasilinear parabolic differential equation, and construct a linear three-level finite difference scheme on a nonuniform grid. The uniform convergence in the sense of discrete L2 norm is proved and numerical examples are presented.

Key words: quasilinear parabolic difTerential equation, singular perturbation, linear three-level difference scheme, uniform convergence

苏煜城;沈全. THE NUMERICAL SOLUTION OF A SINGULARLY PERTURBED PROBLEM FOR QUASILINEAR PARABOLIC DIFFERENTIAL EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(6): 497-506.

Su Yu-cheng;Shen Quan. THE NUMERICAL SOLUTION OF A SINGULARLY PERTURBED PROBLEM FOR QUASILINEAR PARABOLIC DIFFERENTIAL EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(6): 497-506.

参考文献

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

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

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