Initial-Value Technique for Singularly Perturbed Boundary-Value Problems for Second-Order Ordinary Differential Equations Arising in Chemical Reactor Theory

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

Journal of Optimization Theory and Applications, 1998, vol. 97, issue 2, No 10, 455-470

Abstract: Abstract An initial-value technique is presented for solving singularly perturbed two-point boundary-value problems for linear and semilinear second-order ordinary differential equations arising in chemical reactor theory. In this technique, the required approximate solution is obtained by combining solutions of two terminal-value problems and one initial-value problem which are obtained from the original boundary-value problem through asymptotic expansion procedures. Error estimates for approximate solutions are obtained. Numerical examples are presented to illustrate the present technique.

Keywords: Singular perturbations; small parameters; boundary-value problems; initial-value problems; asymptotic expansions; boundary layers; exponentially fitted difference schemes; initial-value techniques (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (5)

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DOI: 10.1023/A:1022639003366

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