Creator:

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

Contributor:

Makowski, Ryszard - ed. ; Zarzycki, Jan - ed.

Title:

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

Subtitle:

.

Group publication title:

AMCS, Volume 24 (2014)

Subject and Keywords:

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

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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2014

Resource Type:

artykuł

DOI:

10.2478/amcs-2014-0029

Pages:

387-395

Source:

AMCS, volume 24, number 2 (2014) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego