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Numerical Study to Coupled Three Dimensional Reaction Diffusion System

Shahid Hasnain,M. Saqib,Muhammad F. Afzaal,I. Hussain

Published 2019 in IEEE Access

ABSTRACT

The numerical solution of reaction diffusion systems may require more computational efforts if the change in concentrations occurs extremely rapid. This is because more time points are needed to resolve the reaction diffusion process accurately. In this paper, three finite difference implicit schemes are used which are unconditionally stable in order to enhance consistency. Novelty is reported by compact finite difference implicit scheme on a reaction diffusion system with higher accuracy measured by <inline-formula> <tex-math notation="LaTeX">$L_{2}, L_{\infty }$ </tex-math></inline-formula>, and <inline-formula> <tex-math notation="LaTeX">$Relative_{error}$ </tex-math></inline-formula> norms. Efficiency is observed by reducing grid space along small temporal steps. CPU performance, transmission capacity along comparison of three schemes shows excellent agreement with the analytical solution.

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