Abstract
In this paper, a fitted finite difference method is presented for solving singularly perturbed two-point boundary value problems with the boundary layer at both end (left and right) points. We have introduced a fitting factor in Dahlquist tridiagonal finite difference scheme and obtained its value from the theory of singular perturbations. This fitting factor takes care of the rapid changes that occur in the boundary layer. The efficient Thomas algorithm is used to solve the tridiagonal system. Maximum absolute errors are presented in tables to show the efficiency of the method.
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