奇异摄动问题的加权差分方法

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The Method of Weighted Difference for Singular Perturbation Problem

摘要: 本文对一阶导数引进了新的差分逼近,给出了一族一致收敛的差分格式.

Abstract: In this paper,we introduce a new difference approximation to the first order derivative u and give a class of uniformly convergent difference schemes.

[1]	Kellogg,R.B.and A.Tsan,Analysis of some difference approximations for a singular perturbation problem without turning points,Math.Comp.Vol.32,No.144,(1978),1025-1039).
[2]	Varga,R.S.,Matrix Iterative Analysis,(1962).
[3]	Hemker,P.W.,A numerical study of stiff two-point boundary problems,(1977).