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An Efficient Numerical Technique for the Nonlinear Fractional Kolmogorov-Petrovskii-Piskunov Equation

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dc.contributor.author Veeresha, Pundikala
dc.contributor.author Prakasha, Doddabhadrappla Gowda
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-01-13T13:23:46Z
dc.date.available 2020-01-13T13:23:46Z
dc.date.issued 2019-03-14
dc.identifier.citation Veeresha, Pundikala; Prakasha, Doddabhadrappla Gowda; Baleanu, Dumitru, "An Efficient Numerical Technique for the Nonlinear Fractional Kolmogorov-Petrovskii-Piskunov Equation",Mathematics, Vol. 7, No.3, (March 2019) tr_TR
dc.identifier.issn 2227-7390
dc.identifier.uri http://hdl.handle.net/20.500.12416/2340
dc.description.abstract The q-homotopy analysis transform method (q-HATM) is employed to find the solution for the fractional Kolmogorov-Petrovskii-Piskunov (FKPP) equation in the present frame work. To ensure the applicability and efficiency of the proposed algorithm, we consider three distinct initial conditions with two of them having Jacobi elliptic functions. The numerical simulations have been conducted to verify that the proposed scheme is reliable and accurate. Moreover, the uniqueness and convergence analysis for the projected problem is also presented. The obtained results elucidate that the proposed technique is easy to implement and very effective to analyze the complex problems arising in science and technology. tr_TR
dc.language.iso eng tr_TR
dc.publisher MDPI tr_TR
dc.relation.isversionof 10.3390/math7030265 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Q-Homotopy Analysis Transform Method tr_TR
dc.subject Fractional Kolmogorov-Petrovskii-Piskunov Equation tr_TR
dc.subject Laplace Transform tr_TR
dc.title An Efficient Numerical Technique for the Nonlinear Fractional Kolmogorov-Petrovskii-Piskunov Equation tr_TR
dc.type article tr_TR
dc.relation.journal Mathematics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 7 tr_TR
dc.identifier.issue 3 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü tr_TR


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