A robust computational technique for a system of singularly perturbed reaction–diffusion equations
, and | Jun 26, 2014
International Journal of Applied Mathematics and Computer Science
Signals and Systems (special section, pp. 233-312), Ryszard Makowski and Jan Zarzycki (Eds.)
Published Online: Jun 26, 2014
Page range: 387 - 395
Received: Mar 07, 2013
DOI: https://doi.org/10.2478/amcs-2014-0029
Keywords
© 2014 Vinod Kumar et al.
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
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.