A Coupling Difference Scheme for the Numerical Solution of a Singular Perturbation Problem

Sun Xiao-di; Wu Qi-guang

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Article Navigation > Applied Mathematics and Mechanics > 1992 > 13(11): 963-970

Sun Xiao-di, Wu Qi-guang. A Coupling Difference Scheme for the Numerical Solution of a Singular Perturbation Problem[J]. Applied Mathematics and Mechanics, 1992, 13(11): 963-970.

Citation:

Sun Xiao-di, Wu Qi-guang. A Coupling Difference Scheme for the Numerical Solution of a Singular Perturbation Problem[J]. Applied Mathematics and Mechanics, 1992, 13(11): 963-970.

Citation:

Sun Xiao-di, Wu Qi-guang. A Coupling Difference Scheme for the Numerical Solution of a Singular Perturbation Problem[J]. Applied Mathematics and Mechanics, 1992, 13(11): 963-970.

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A Coupling Difference Scheme for the Numerical Solution of a Singular Perturbation Problem

Nanjing University, Nanjing

Received Date: 1991-10-08
Publish Date: 1992-11-15

Abstract

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.
- singularly perturbed problem,
- coupling difference scheme,
- nonuniform mesh

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References(4)

References

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[3]	Vulanovic,R.,On a numerical solution of a type of singularly perturbed boundary value problem by using a special discretization mesh,Zb.rad.Prir.,Mat.Fak.Univ.Novom.Sadu.,Ser.Mat.,13(1983),187-201.
[4]	苏爆城,关于奇异摄动问题数值方法的若干进展,1991年全国计算数学年会会议资料.