A Note on the Method of Weighted Difference

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1987 > 8(5): 393-397

Wu Chi-kuang. A Note on the Method of Weighted Difference[J]. Applied Mathematics and Mechanics, 1987, 8(5): 393-397.

Citation:

Wu Chi-kuang. A Note on the Method of Weighted Difference[J]. Applied Mathematics and Mechanics, 1987, 8(5): 393-397.

Citation:

Wu Chi-kuang. A Note on the Method of Weighted Difference[J]. Applied Mathematics and Mechanics, 1987, 8(5): 393-397.

Abstract

In this short paper, we introduce a new difference approximation for singular perturbation problem and prove the necessary condition of uniform convergence. Selecting apposite weight factor, we obtain the same difference schemes as in the case of Ilin's method.

[1]	Doolan, E, P.,J, J. H. Miller and W.H. A. Schilders, Uniform Numerical Methods for Problems with Initial and Boundary Layers (1980).
[2]	苏煌城、吴启光,椭圆-抛物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.
[3]	昊启光,奇异摄动问题的加权差分方法,应用数学和力学,5, 5 (1984), 633-638.