Initial-Value Technique for Singularly-Perturbed Turning-Point Problems Exhibiting Twin Boundary Layers

S. Natesan and M. Ramanujam
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S. Natesan: Bharathidasan University
M. Ramanujam: Bharathidasan University

Journal of Optimization Theory and Applications, 1998, vol. 99, issue 1, No 3, 37-52

Abstract: Abstract The initial-value technique that was originally developed for solving singularly-perturbed nonturning-point problems (Ref. 1) is used here to solve singularly-perturbed turning-point problems exhibiting twin boundary layers. In this method, the required approximate solution is obtained by combining solutions of the reduced problem, an initial-value problem, and a terminal-value problem. Error estimates for approximate solutions are obtained. The implementation of the method on parallel architectures is discussed. Numerical examples are presented to illustrate the present technique.

Keywords: Singularly perturbed boundary-value problems; asymptotic expansions; boundary layers; turning points; exponentially fitted difference schemes; initial-value techniques; parallel computation (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (4)

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DOI: 10.1023/A:1021744025980

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