A robust computational technique for a system of singularly perturbed reaction–diffusion equations

Kumar, V. ; Bawa, R. K. ; Lal, A. K.

International Journal of Applied Mathematics and Computer Science, Tome 24 (2014) no. 2, pp. 387-395.

Résumé

In this paper, a singularly perturbed system of reaction–diffusion Boundary Value Problems (BVPs) is examined. To solve such a type of problems, a Modified Initial Value Technique (MIVT) is proposed on an appropriate piecewise uniform Shishkin mesh. The MIVT is shown to be of second order convergent (up to a logarithmic factor). Numerical results are presented which are in agreement with the theoretical results.

Détail

Keywords: asymptotic expansion approximation, backward difference operator, trapezoidal method, piecewise uniform Shishkin mesh
Mots-clés : rozwinięcie asymptotyczne, operator różnicowy, metoda trapezowa

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