An algorithm for solving nonlinear singular perturbation problems with mechanization

摘要

In this paper, by using the theories and methods of mathematical analysis and computer algebra, a reliable algorithm of Padé approximation method for solving nonlinear singular perturbation problems was established, a new Maple procedure spp was established, too. The procedure spp give not only the approximate analytic solutions but also the numerical solutions of SPP. Six examples are presented to illustrate the implementation of the program. The method is very simple and effective for most of singular perturbation problems. This would be useful for solving differential equations.