小参数常微分方程的有限元格式
The Finite Element Scheme for Ordinary Differential Equation with Small Parameter
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摘要: 在这篇短文中作者构造了特殊的有限元格式,研究了此格式的收敛性.Abstract: In this short paper the author has constructed a speical finite element scheme and investigated the convergence of this scheme.
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[1] Il'in,A.M.,Difference scheme for a differential equation with a small parameter affecting the highest derivative,Math.Notes,6(1969),596-602. [2] Miller,John J.H.,Construction of a FEM for a singularly perturbed problem in two dimensions,International Series of Numerical Mathematics,Vol.31(1976),165-169. [3] Su Yu-Cheng and Wu Chi-kuang,The difference methods for the solution of singular-perturbation for the elliptic-parabolic differential equation,Applied Mathematics and Mechanics(English Edition),Vol.1,No.2.Dec.(1980),175-185.
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