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Numerical Solution of Reaction–Diffusion Equations with Convergence Analysis

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dc.contributor.author Heidari, M.
dc.contributor.author Ghovatmand, M.
dc.contributor.author Skandari, M. H. Noori
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2024-01-17T13:28:43Z
dc.date.available 2024-01-17T13:28:43Z
dc.date.issued 2023-06
dc.identifier.citation Heidari M.;...et.al. (2023). "Numerical Solution of Reaction–Diffusion Equations with Convergence Analysis", Journal of Nonlinear Mathematical Physics, Vol.30, No.2, pp.384-399. tr_TR
dc.identifier.issn 14029251
dc.identifier.uri http://hdl.handle.net/20.500.12416/6904
dc.description.abstract In this manuscript, we implement a spectral collocation method to find the solution of the reaction–diffusion equation with some initial and boundary conditions. We approximate the solution of equation by using a two-dimensional interpolating polynomial dependent to the Legendre–Gauss–Lobatto collocation points. We fully show that the achieved approximate solutions are convergent to the exact solution when the number of collocation points increases. We demonstrate the capability and efficiency of the method by providing four numerical examples and comparing them with other available methods. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1007/s44198-022-00086-1 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Convergence Analysis tr_TR
dc.subject Reaction–Diffusion Equations tr_TR
dc.subject Shifted Legendre–Gauss–Lobatto Points tr_TR
dc.subject Spectral Collocation Method tr_TR
dc.title Numerical Solution of Reaction–Diffusion Equations with Convergence Analysis tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Nonlinear Mathematical Physics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 30 tr_TR
dc.identifier.issue 2 tr_TR
dc.identifier.startpage 384 tr_TR
dc.identifier.endpage 399 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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