Author： Natesan S. Ramanujam N.
Publisher： Springer Publishing Company
ISSN： 0022-3239
Source： Journal of Optimization Theory and Applications, Vol.97, Iss.2, 1998-05, pp. : 455-470
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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.
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