Electronic Proceedings of the Nineteenth Annual International Conference on Technology in Collegiate Mathematics

Boston, Massachusetts, February 15-18, 2007

Paper C032

This is an electronic reprint, reproduced by permission of Pearson Education Inc. Originally appeared in the Proceedings of the Nineteenth Annual International Conference on Technology in Collegiate Mathematics, Edited by Joanne Foster, ISBN 0-321-55846-4, Copyright (C) 2008 by Pearson Education, Inc.


Exploring Singular Differential Equations With Exponential Box-Schemes

Vladimir V. Riabov


River College
420 S. Main Street
Nashua, NH 03060-5068
USA


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ABSTRACT

Computer programs based on exponential box-scheme approximations are developed for solving systems of differential equations that contain small parameters at the highest derivatives or singularities in boundary conditions. The uniform second-order accuracy is obtained for functions and derivatives. The approach is applied to boundary layers with extra carriage return, gas injection and combustion.

Keyword(s): differential equations, numerical methods