Numerical treatment for nonlinear Brusselator chemical model |
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| Authors: | Zain Ul Abadin Zafar Kashif Rehan M. Mushtaq M. Rafiq |
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| Affiliation: | 1. Department of Mathematics, University of Engineering and Technology, Lahore, Pakistan;2. Faculty of Information and Technology, University of Central Punjab, Lahore, Pakistanzainzafar@ucp.edu.pk;4. Department of Mathematics, University of Engineering and Technology, KSK Campus, Lahore, Pakistan;5. Faculty of Engineering, University of Central Punjab, Lahore, Pakistan |
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| Abstract: | Nowadays, numerical models have great importance in every field of science, especially for solving the nonlinear differential equations, partial differential equations, biochemical reactions, etc. The total time evolution of the reactant species which interacts with other species is simulated by the Runge-Kutta of order four (RK4) and by Non-Standard finite difference (NSFD) method. A NSFD model has been constructed for the biochemical reaction problem and numerical experiments are performed for different values of discretization parameter h. The results are compared with the well-known numerical scheme, i.e. RK4. The developed scheme NSFD gives better results than RK4. |
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| Keywords: | Brusselator model NSFD method RK4 method chemical reaction |
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