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.

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

  • Received Date: 1984-04-04
  • Publish Date: 1985-04-15
  • 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.
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  • [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.
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