Title: Method of reduction of order for solving singularly perturbed two-point boundary value problems
Abstract: In this paper, a method of reduction of order is proposed for solving singularly perturbed two-point boundary value problems with a boundary layer at one end point. It is distinguished by the following fact: the original singularly perturbed boundary value problem is replaced by a pair of initial value problems. Classical fourth order Runge–Kutta method is used to solve these initial value problems. Several linear and non-linear singular perturbation problems have been solved and the numerical results are presented to support the theory.
Publication Year: 2002
Publication Date: 2002-10-28
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 34
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