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An efficient technique for solving the space-time fractional reaction-diffusion equation in porous media

dc.contributor.authorPandey, Prashant
dc.contributor.authorKumar, Sachin
dc.contributor.authorGomez-Aguilar, J. F.
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-03-16T10:39:25Z
dc.date.available2022-03-16T10:39:25Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn 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.en_US
dc.description.publishedMonth12
dc.identifier.citationPandey, 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.en_US
dc.identifier.doi10.1016/j.cjph.2020.09.031
dc.identifier.endpage492en_US
dc.identifier.issn2309-9097
dc.identifier.startpage483en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5121
dc.identifier.volume68en_US
dc.language.isoenen_US
dc.relation.ispartofChinese Journal of Physicsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectReaction-Diffusion Equationen_US
dc.subjectFractional Derivativesen_US
dc.subjectHe’s Polynomialsen_US
dc.subjectPorous Media Equationen_US
dc.titleAn efficient technique for solving the space-time fractional reaction-diffusion equation in porous mediatr_TR
dc.titleAn Efficient Technique for Solving the Space-Time Fractional Reaction-Diffusion Equation in Porous Mediaen_US
dc.typeArticleen_US
dspace.entity.typePublication

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