A COUPLING DIFFERENCE SCHEME FOR THE NUMERICAL SOLUTION OF A SINGULAR PERTURBATION PROBLEM

Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (11): 1009-1016.

A COUPLING DIFFERENCE SCHEME FOR THE NUMERICAL SOLUTION OF A SINGULAR PERTURBATION PROBLEM

孙晓弟, 吴启光

Nanjing University, Nanjing

收稿日期:1991-10-08 出版日期:1992-11-18 发布日期:1992-11-18

A COUPLING DIFFERENCE SCHEME FOR THE NUMERICAL SOLUTION OF A SINGULAR PERTURBATION PROBLEM

Sun Xiao-di, Wu Qi-guang

Nanjing University, Nanjing

Received:1991-10-08 Online:1992-11-18 Published:1992-11-18

摘要/Abstract

摘要： In this paper, we consider a singularly perturbed problem without turning points. On a special discretization mesh, a coupling difference scheme, resulting from central difference scheme and Abrahamsson-Keller-Kreiss box scheme, is proposed and the second order convergence, uniform in the small parameter, is proved. Finally, numerical results are provided.

关键词: singularly perturbed problem, coupling difference scheme, nonuniform mesh

Abstract: In this paper, we consider a singularly perturbed problem without turning points. On a special discretization mesh, a coupling difference scheme, resulting from central difference scheme and Abrahamsson-Keller-Kreiss box scheme, is proposed and the second order convergence, uniform in the small parameter, is proved. Finally, numerical results are provided.

Key words: singularly perturbed problem, coupling difference scheme, nonuniform mesh

孙晓弟;吴启光. A COUPLING DIFFERENCE SCHEME FOR THE NUMERICAL SOLUTION OF A SINGULAR PERTURBATION PROBLEM[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(11): 1009-1016.

Sun Xiao-di;Wu Qi-guang. A COUPLING DIFFERENCE SCHEME FOR THE NUMERICAL SOLUTION OF A SINGULAR PERTURBATION PROBLEM[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(11): 1009-1016.

[1]	苏煜城;张由余. DIFFERENCE SCHEME FOR AN INITIAL-BOUNDARY VALUE PROBLEM FOR LINEAR COEFFICIENT-VARIED PARABOLIC DIFFERENTIAL EQUATION WITH A NONSMOOTH BOUNDARY LAYER FUNCTION[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(4): 297-304.
[2]	孙晓弟. A SECOND ORDER UNIFORM DIFFERENCE SCHEME FOR A SINGULARLY PERTURBED TURNING POINT PROBLEM[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(2): 143-147.
[3]	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.

A COUPLING DIFFERENCE SCHEME FOR THE NUMERICAL SOLUTION OF A SINGULAR PERTURBATION PROBLEM

A COUPLING DIFFERENCE SCHEME FOR THE NUMERICAL SOLUTION OF A SINGULAR PERTURBATION PROBLEM

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