外推法对奇异摄动问题数值解的应用

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Applications of the Extrapolation Method to the Numerical Solution of Singular Perturbation Problems

摘要: 在本文中讨论了外推法对椭圆一抛物奇异摄动问题数值解的应用,提高了解的精度,估出了精度的阶数,并对文[1]中的一致收敛性在附录中给出证明.

Abstract: In this paper we consider applications of extrapolation method to the numerical solution of singular perturbation problem for elliptic-parabolic equation in order to manifesting accuracy of approximations and estimate the order of accuracy, Concerning the uniform convergence in ref.[1],its proof is given in the appendix.

[1]	苏煜城、吴启光,椭圆-抛物偏微分方程奇异摄动问题的差分解法,应用数学和力学,1,2 (1980),167-176.
[2]	Подкорытов Е.М.,Зкстрапяпионный мевышения точности приближеных решений для уравнения εy"(x)+by'(x)-c(x)y(x)=f(x),Дuфференчuалъные Ураененuяс малым Парамеmром(1980),118-129.