求解奇异摄动问题的一个耦合差分格式

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

摘要: 本文考察奇异摄动问题(1.1).在一特殊的非均匀网格上,将不稳定、二阶精度的中心差格式和稳定、一阶精度的Abrahamsson-Keller-Kreiss箱子格式相耦合,得到了一个二阶一致收敛的差分格式.最后给出了数值结果.
- 奇异摄动问题 /
- 耦合差分格式 /
- 非均匀网格
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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[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.

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