An efficient technique for solving the space-time fractional reaction-diffusion equation in porous media
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Date
2020
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Abstract
In this paper, we obtained the approximate numerical solution of space-time fractional-order reaction-diffusion equation using an efficient technique homotopy perturbation technique using Laplace transform method with fractional-order derivatives in Caputo sense. The solution obtained is very useful and significant to analyze the many physical phenomenons. The present technique demonstrates the coupling of the homotopy perturbation technique and Laplace transform using He's polynomials for finding the numerical solution of various non-linear fractional complex models. The salient features of the present work are the graphical presentations of the approximate solution of the considered porous media equation for different particular cases and reflecting the presence of reaction terms presented in the equation on the physical behavior of the solute profile for various particular cases.
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Keywords
Reaction-Diffusion Equation, Fractional Derivatives, He’s Polynomials, Porous Media Equation
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Citation
Pandey, Prashant...et al. (2020). "An efficient technique for solving the space-time fractional reaction-diffusion equation in porous media", Chinese Journal of Physics, Vol. 68, pp. 483-492.
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Source
Chinese Journal of Physics
Volume
68
Issue
Start Page
483
End Page
492