<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

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

School of Mathematics and Computer Applications, Thapar University, Patiala, 147004, India

Department of Computer Science, Punjabi University, Patiala 147002, India

International Journal of Applied Mathematics and Computer Science

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...

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

Published Online: Jun 26, 2014

Page range: 387 - 395

Received: Mar 07, 2013

DOI: https://doi.org/10.2478/amcs-2014-0029

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

© 2014 Vinod Kumar et al.

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Jun 26, 2014

Page range: 387 - 395

Received: Mar 07, 2013

DOI: https://doi.org/10.2478/amcs-2014-0029

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

© 2014 Vinod Kumar et al.

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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