A CLASS OF VARIATIONAL DIFFERENCE SCHEMES FOR A SINGULAR PERTURBATION PROBLEM

摘要

In this paper,a singularly perturbed boundary value problem for second order self-adjoint ordinary differential equation is discussed.A class of variational difference schemesis constructed by the finite element method.Uniform convergence about small parameter isproved 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 class.