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

Su Yu-cheng

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1985 > 6(4): 289-302

Su Yu-cheng. Applications of the Extrapolation Method to the Numerical Solution of Singular Perturbation Problems[J]. Applied Mathematics and Mechanics, 1985, 6(4): 289-302.

Citation:

Su Yu-cheng. Applications of the Extrapolation Method to the Numerical Solution of Singular Perturbation Problems[J]. Applied Mathematics and Mechanics, 1985, 6(4): 289-302.

Citation:

Su Yu-cheng. Applications of the Extrapolation Method to the Numerical Solution of Singular Perturbation Problems[J]. Applied Mathematics and Mechanics, 1985, 6(4): 289-302.

PDF( 736 KB)

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

Su Yu-cheng

Nanjing University, Nanjing

Received Date: 1984-04-04
Publish Date: 1985-04-15

Abstract

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.

FullText(HTML)

References(2)

References

[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.