Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 217, Issue 12, Pages 5404-5415Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2010.12.010
Keywords
Reaction-diffusion Brusselator system; Differential quadrature method; System of ordinary differential equations; Runge-Kutta Method
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Funding
- UGC India
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In this paper, polynomial based differential quadrature method (DQM) is applied for the numerical solution of a class of two-dimensional initial-boundary value problems governed by a non-linear system of partial differential equations. The system is known as the reaction-diffusion Brusselator system. The system arises in the modeling of certain chemical reaction-diffusion processes. In Brusselator system the reaction terms arise from the mathematical modeling of chemical systems such as in enzymatic reactions, and in plasma and laser physics in multiple coupling between modes. The numerical results reported for three specific problems. Convergence and stability of the method is also examined numerically. (C) 2010 Published by Elsevier Inc.
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