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Numerical simulation of the fractional diffusion equation

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dc.contributor.author Partohaghighi, Mohammad
dc.contributor.author Yusuf, Abdullahi
dc.contributor.author Jarad, Fahd
dc.contributor.author Sulaiman, Tukur A.
dc.contributor.author Alquran, Marwan
dc.date.accessioned 2024-01-16T13:47:58Z
dc.date.available 2024-01-16T13:47:58Z
dc.date.issued 2023-04-20
dc.identifier.citation Partohaghighi, Mohammad;...et.al. (2023). "Numerical simulation of the fractional diffusion equation", International Journal of Modern Physics B, Vol.37, No.10. tr_TR
dc.identifier.issn 02179792
dc.identifier.uri http://hdl.handle.net/20.500.12416/6899
dc.description.abstract During this paper, a specific type of fractal-fractional diffusion equation is presented by employing the fractal-fractional operator. We present a reliable and accurate operational matrix approach using shifted Chebyshev cardinal functions to solve the considered problem. Also, an operational matrix for the considered derivative is obtained from basic functions. To solve the introduced problem, we convert the main equation into an algebraic system by extracting the operational matrix methods. Graphs of exact and approximate solutions along with error graphs are presented. These figures show how the introduced approach is reliable and accurate. Also, tables are established to illustrate the values of solutions and errors. Finally, a comparison of the solutions at a specific time is given for each test problem. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1142/S0217979223500972 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Chebyshev Cardinal Functions tr_TR
dc.subject Fractal-Fractional Operator tr_TR
dc.subject Nonlinear Science tr_TR
dc.title Numerical simulation of the fractional diffusion equation tr_TR
dc.type article tr_TR
dc.relation.journal International Journal of Modern Physics B tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 37 tr_TR
dc.identifier.issue 10 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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