International Journal of applied mathematics and computer science

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Paper details

Number 2 - June 2014
Volume 24 - 2014

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

Vinod Kumar, Rajesh K. Bawa, Arvind K. Lal

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.

asymptotic expansion approximation, backward difference operator, trapezoidal method, piecewise uniform Shishkin mesh