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A numerical algorithm based on modified extended B-spline functions for solving time-fractional diffusion wave equation involving reaction and damping terms

dc.contributor.authorKhalid, Nauman
dc.contributor.authorAbbas, Muhammad
dc.contributor.authorIqbal, Muhammad Kashif
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2019-12-25T11:39:08Z
dc.date.available2019-12-25T11:39:08Z
dc.date.issued2019
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümüen_US
dc.description.abstractIn this study, we have proposed an efficient numerical algorithm based on third degree modified extended B-spline (EBS) functions for solving time-fractional diffusion wave equation with reaction and damping terms. The Caputo time-fractional derivative has been approximated by means of usual finite difference scheme and the modified EBS functions are used for spatial discretization. The stability analysis and derivation of theoretical convergence validates the authenticity and effectiveness of the proposed algorithm. The numerical experiments show that the computational outcomes are in line with the theoretical expectations. Moreover, the numerical results are proved to be better than other methods on the topic.en_US
dc.description.publishedMonth9
dc.identifier.citationKhalid, Nauman...et al. (2019). "A numerical algorithm based on modified extended B-spline functions for solving time-fractional diffusion wave equation involving reaction and damping terms", Advances in Difference Equations, Vol. 2019, No. 1.en_US
dc.identifier.doi10.1186/s13662-019-2318-7
dc.identifier.issn1687-1847
dc.identifier.issue1en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/2259
dc.identifier.volume2019en_US
dc.language.isoenen_US
dc.publisherSpringer Openen_US
dc.relation.ispartofAdvances in Difference Equationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectTime-Fractional Diffusion Wave Equationen_US
dc.subjectFinite Difference Formulationen_US
dc.subjectCaputo's Time-Fractional Derivativeen_US
dc.subjectModified Extended B-Spline Functionsen_US
dc.subjectModified B-Spline Collocation Methoden_US
dc.titleA numerical algorithm based on modified extended B-spline functions for solving time-fractional diffusion wave equation involving reaction and damping termstr_TR
dc.titleA Numerical Algorithm Based on Modified Extended B-Spline Functions for Solving Time-Fractional Diffusion Wave Equation Involving Reaction and Damping Termsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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