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An efficient numerical algorithm for the study of time fractional Tricomi and Keldysh type equations

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dc.contributor.author Ghafoor, Abdul
dc.contributor.author Haq, Sirajul
dc.contributor.author Rasool, Amir
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2022-03-16T10:39:10Z
dc.date.available 2022-03-16T10:39:10Z
dc.date.issued 2021-02
dc.identifier.citation Ghafoor, Abdul...et al. (2021). "An efficient numerical algorithm for the study of time fractional Tricomi and Keldysh type equations", Engineering With Computers. tr_TR
dc.identifier.issn 0177-0667
dc.identifier.uri http://hdl.handle.net/20.500.12416/5118
dc.description.abstract This work addresses a hybrid scheme for the numerical solutions of time fractional Tricomi and Keldysh type equations. In proposed methodology, Haar wavelets are used for discretization in space while theta-weighted scheme coupled with second order finite differences and quadrature rule are employed for temporal discretization and fractional derivative respectively. Stability of the proposed scheme is described theoretically and validated computationally which is an essential chunk of the current work. Efficiency of the suggested scheme is endorsed through resolutions level and time step size. Goodness of the obtained solutions confirmed through computing error norms E-infinity, E-2 and matching with existing results in literature. Moreover, convergence rate is also checked for considered problems. Numerical simulations show good performance for both 1D and 2D test problems. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1007/s00366-020-01257-8 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Two Dimensional Haar Wavelets tr_TR
dc.subject Caputo Fractional Derivative tr_TR
dc.subject Finite Diferences tr_TR
dc.subject Tricomi tr_TR
dc.subject Keldysh Equations tr_TR
dc.title An efficient numerical algorithm for the study of time fractional Tricomi and Keldysh type equations tr_TR
dc.type article tr_TR
dc.relation.journal Engineering With Computers tr_TR
dc.contributor.authorID 56389 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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