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

dc.contributor.authorGhafoor, Abdul
dc.contributor.authorHaq, Sirajul
dc.contributor.authorRasool, Amir
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-03-16T10:39:10Z
dc.date.available2022-03-16T10:39:10Z
dc.date.issued2021
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis 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.en_US
dc.description.publishedMonth2
dc.identifier.citationGhafoor, Abdul...et al. (2021). "An efficient numerical algorithm for the study of time fractional Tricomi and Keldysh type equations", Engineering With Computers.en_US
dc.identifier.doi10.1007/s00366-020-01257-8
dc.identifier.issn0177-0667
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5118
dc.language.isoenen_US
dc.relation.ispartofEngineering With Computersen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectTwo Dimensional Haar Waveletsen_US
dc.subjectCaputo Fractional Derivativeen_US
dc.subjectFinite Diferencesen_US
dc.subjectTricomien_US
dc.subjectKeldysh Equationsen_US
dc.titleAn efficient numerical algorithm for the study of time fractional Tricomi and Keldysh type equationstr_TR
dc.titleAn Efficient Numerical Algorithm for the Study of Time Fractional Tricomi and Keldysh Type Equationsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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