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An Efficient Collocation Technique for Solving Generalized Fokker-Planck Type Equations With Variable Coefficients

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dc.contributor.author Bhrawy, A. H.
dc.contributor.author Ahmed, Engy A.
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-05-12T04:47:38Z
dc.date.available 2020-05-12T04:47:38Z
dc.date.issued 2014-10-01
dc.identifier.citation Bhrawy, A.H.; Ahmed, E.A.; Baleanu, D.,"An Efficient Collocation Technique for Solving Generalized Fokker-Planck Type Equations With Variable Coefficients", Proceedings of the Romanian Academy Series A - Mathematics Physics Technical Sciences Information Science, Vol. 14, No. 4, pp. 322-330, (2014). tr_TR
dc.identifier.issn 14549069
dc.identifier.uri http://hdl.handle.net/20.500.12416/3719
dc.description.abstract This paper proposes an efficient numerical integration process for the generalized Fokker-Planck equation with variable coefficients. For spatial discretization the Jacobi-Gauss-Lobatto collocation (J-GL-C) method is implemented in which the Jacobi-Gauss-Lobatto points are used as collocation nodes for spatial derivatives. This approach has the advantage of obtaining the solution in terms of the Jacobi parameters α and β . Using the above technique, the problem is reduced to the solution of a system of ordinary differential equations in time. This system can be also solved by standard numerical techniques. Our results demonstrate that the proposed method is a powerful algorithm for solving nonlinear partial differential equations. tr_TR
dc.language.iso eng tr_TR
dc.publisher Editura Academiei Romane tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Generalized Fokker-Plank Equation tr_TR
dc.subject Collocation Method tr_TR
dc.subject Real Newell-Whitehead Equation tr_TR
dc.subject Implicit Runge-Kutta Method tr_TR
dc.subject Time-Dependent Fokker-Plank Equation tr_TR
dc.title An Efficient Collocation Technique for Solving Generalized Fokker-Planck Type Equations With Variable Coefficients tr_TR
dc.type article tr_TR
dc.relation.journal Proceedings of the Romanian Academy Series A - Mathematics Physics Technical Sciences Information Science tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 14 tr_TR
dc.identifier.issue 4 tr_TR
dc.identifier.startpage 322 tr_TR
dc.identifier.endpage 330 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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