A Class of Variational Difference Schemes for a Singular Perturbation Problem

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Lin Ping. A Class of Variational Difference Schemes for a Singular Perturbation Problem[J]. Applied Mathematics and Mechanics, 1989, 10(4): 339-345.

Citation:

Lin Ping. A Class of Variational Difference Schemes for a Singular Perturbation Problem[J]. Applied Mathematics and Mechanics, 1989, 10(4): 339-345.

Citation:

Lin Ping. A Class of Variational Difference Schemes for a Singular Perturbation Problem[J]. Applied Mathematics and Mechanics, 1989, 10(4): 339-345.

Abstract

In this paper, a singularly perturbed boundary value problem for second order self-adjoint ordinary differential equation is discussed.A class of variational difference schemes is constructed by the finite element method.Uniform convergence about small parameter is proved under a weaker smooth condition with respect to the coefficients of the equation.The schemes studied in refs.[1], [3], [4] and [5] belong to the cllass.

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