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Zbl 1114.65340
Habib, H.M.; El-Zahar, E.R.
An algorithm for solving singular perturbation problems with mechanization. (English)
[J] Appl. Math. Comput. 188, No. 1, 286-302 (2007). ISSN 0096-3003

Summary: In this paper, by using the theories and methods of mathematical analysis and computer algebra, a reliable algorithm of finite difference method for solving singular perturbation problems is established, a new matlab procedure EHSSP is implemented, too. Several linear and non-linear problems are presented to illustrate the implementation of the program.

MSC 2000:: *65L10 Boundary value problems for ODE (numerical methods)
34B15 Nonlinear boundary value problems of ODE
68W30 Symbolic computation and algebraic computation
34E15 Asymptotic singular perturbations, general theory (ODE)
65L12 Finite difference methods for ODE

Keywords: singular perturbation problems; finite difference method; algorithm; mechanization; MATLAB; numerical examples; computer algebra

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