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Novel Numerical Approach Based on Modified Extended Cubic B-Spline Functions for Solving Non-Linear Time-Fractional Telegraph Equation

dc.contributor.authorAkram, Tayyaba
dc.contributor.authorAbbas, Muhammad
dc.contributor.authorIqbal, Azhar
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorAsad, Jihad H.
dc.contributor.authorID56389tr_TR
dc.date.accessioned2020-12-31T11:29:33Z
dc.date.available2020-12-31T11:29:33Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe telegraph model describes that the current and voltage waves can be reflected on a wire, that symmetrical wave patterns can form along a line. A numerical study of these voltage and current waves on a transferral line has been proposed via a modified extended cubic B-spline (MECBS) method. The B-spline functions have the flexibility and high order accuracy to approximate the solutions. These functions also preserve the symmetrical property. The MECBS and Crank Nicolson technique are employed to find out the solution of the non-linear time fractional telegraph equation. The time direction is discretized in the Caputo sense while the space dimension is discretized by the modified extended cubic B-spline. The non-linearity in the equation is linearized by Taylor's series. The proposed algorithm is unconditionally stable and convergent. The numerical examples are displayed to verify the authenticity and implementation of the method.en_US
dc.description.publishedMonth7
dc.identifier.citationAkram, Tayyaba...et al. (2020). "Novel Numerical Approach Based on Modified Extended Cubic B-Spline Functions for Solving Non-Linear Time-Fractional Telegraph Equation", Symmetry-Basel, Vol. 12, No. 7.en_US
dc.identifier.doi10.3390/sym12071154
dc.identifier.issn2073-8994
dc.identifier.issue7en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/4424
dc.identifier.volume12en_US
dc.language.isoenen_US
dc.relation.ispartofSymmetry-Baselen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectNonlinear Time Fractional Telegraph Equationen_US
dc.subjectExtended Cubic B-Spline Basisen_US
dc.subjectCollocation Methoden_US
dc.subjectCaputo's Fractional Derivativeen_US
dc.titleNovel Numerical Approach Based on Modified Extended Cubic B-Spline Functions for Solving Non-Linear Time-Fractional Telegraph Equationtr_TR
dc.titleNovel Numerical Approach Based on Modified Extended Cubic B-Spline Functions for Solving Non-Linear Time-Fractional Telegraph Equationen_US
dc.typeArticleen_US
dspace.entity.typePublication

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