Fractional approximate solutions of 2D reaction–diffusion Brusselator model using the novel Laplace-optimized decomposition approach

Wahiba Beghami, Banan Maayah, Omar Abu Arqub and Samia Bushnaq
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Wahiba Beghami: Department of Mathematics, Faculty of Science, The University of Jordan, 11942 Amman, Jordan
Banan Maayah: Department of Mathematics, Faculty of Science, The University of Jordan, 11942 Amman, Jordan
Omar Abu Arqub: ��Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Salt 19117, Jordan
Samia Bushnaq: ��Department of Basic Sciences, Princess Sumaya University for Technology, 11941 Amman, Jordan

International Journal of Modern Physics C (IJMPC), 2023, vol. 34, issue 07, 1-17

Abstract: The dynamical Brusselator reaction–diffusion system of time-fractional is used to describe chemical models and chemical processes with nonlinear oscillation. In this study, the Laplace optimized decomposition scheme is proposed for approximating solutions of three applications of the two-dimensional (2D) reaction–diffusion Brusselator model with the noninteger derivative proposed in the Caputo approach. Complete descriptions of the scheme and solution steps are utilized and mentioned. By applying the procedures of the Laplace inversion operator and truncating the optimized series, the approximate solutions are drawn, tabulated and sketched. Numerical results show the efficiency, reliability and accuracy of the technique for the nonlinear systems of partial differential equations of noninteger-different order derivatives. Finally, focused notes and futures planning works are mentioned with the most-used references.

Keywords: Laplace optimized decomposition method; time-fractional reaction–diffusion Brusselator system; Caputo fractional derivatives; partial differential equation; Laplace transform operator (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0129183123500869

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