An initial-value approach for solving singularly perturbed two-point boundary value problems

doi:10.1016/s0096-3003(03)00763-x

An initial-value approach for solving singularly perturbed two-point boundary value problems

2004-07-01

32

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AI

Y

Y. N. Reddy *

P

P. Pramod Chakravarthy

DOI：10.1016/s0096-3003(03)00763-x

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In this paper an initial-value approach is presented for solving singularly perturbed two-point boundary value problems with the boundary layer at one end (left or right) point. This approach is based on the boundary layer behavior of the solution. The method is distinguished by the following fact: The given singularly perturbed two-point boundary value problem is replaced by three first order initial-value problems. Several linear and non-linear problems are solved to demonstrate the applicability of the method. It is observed that the present method approximates the exact solution very well. (C) 2003 Published by Elsevier Inc.

Keyword:

singular perturbation problems

two-point boundary value problems

ordinary differential equations

boundary layer

initial-value approach

An initial-value approach for solving singularly perturbed two-point boundary value problems

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