Article ID Journal Published Year Pages File Type
4630148 Applied Mathematics and Computation 2011 5 Pages PDF
Abstract

In this paper, a novel method is presented for solving a class of singularly perturbed boundary value problems. Firstly the original problem is reformulated as a new boundary value problem whose solution does not change rapidly via a proper transformation; then the reproducing kernel method is employed to solve the boundary value new problem. Numerical results show that the present method can provide very accurate analytical approximate solutions.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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