AUTHORS: K. Phaneendra
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ABSTRACT: In this paper, a variable mesh finite difference scheme using non polynomial spline is derived for the solution of singular perturbation problem with twin boundary layers. The equation of discretization for the problem is obtained by using the condition of continuity for the first order derivatives of the variable mesh non polynomial spline at the interior nodes. The discrete invariant imbedding algorithm is used to solve the tridiagonal system of the method. Convergence of the method is discussed and maximum absolute errors for the standard examples in comparison to the existing methods in the literature are presented to show the efficiency of the method.
KEYWORDS: Singular perturbation problem, Non polynomial spline, Tridiagonal system, Truncation error
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