An Efficient Method for Solving the Brusselator System

Abstract

In this paper, a new efficient recurrence relation is constructed to solve a nonlinear Brusselator equation. The system, known as the reaction-diffusion Brusselator, arises in the modeling of certain diffusion processes. The Laplace transform method and the new homotopy perturbation method (NHPM) are used to solve these equations. Since mathematical modeling of numerous scientific and engineering experiment lead to the Brusselator equation, it is worthwhile to try new methods to solve this system. Comparison of the results with those of the homotopy perturbation method, the Adomian decomposition method and the dual-reciprocity boundary element method leads to significant consequences. The method is tested using various examples and the results show that the new method is more effective and convenient to use, and has an evident high accuracy rate.

Keywords

• Laplace transform method
• new homotopy perturbation method (NHPM)
• Brusselator equation
• reaction-diffusion systems