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Analytical Study of \((3+1)\)-Dimensional Fractional-Reaction Diffusion Trimolecular Models

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Abstract

This paper employs two efficient iterative schemes for solving the \((3+1)\)-dimensional fractional diffusion-reaction trimolecular models also known as Brusselator models which arises in the mathematical modeling of chemical reaction-diffusion processes. This model is a famous model of chemical reactions with oscillations. The two iterative methods used in this study are the q-homotopy analysis method and the fractional reduced differential transform method. These methods produce exact solutions in some special cases. Error estimates are done when the exact solution is known. The effect of the fractional order on the solutions profile of the system considered is investigated. The numerical results obtained show that these iterative methods are competitive, reliable, and powerful for solving strongly nonlinear higher-order differential equation of fractional type.

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Authors and Affiliations

  1. Department of Mathematics, Prairie View A&M University, Prairie View, USA

    Lanre Akinyemi

  2. Department of Mathematics and Physical Sciences, California University of Pennsylvania, California, USA

    Olaniyi S. Iyiola

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  1. Lanre Akinyemi
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  2. Olaniyi S. Iyiola
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Correspondence to Lanre Akinyemi.

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Akinyemi, L., Iyiola, O.S. Analytical Study of \((3+1)\)-Dimensional Fractional-Reaction Diffusion Trimolecular Models. Int. J. Appl. Comput. Math 7, 92 (2021). https://doi.org/10.1007/s40819-021-01039-w

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