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A numerical investigation of Caputo time fractional Allen-Cahn equation using redefined cubic B-spline functions

dc.contributor.authorKhalid, Nauman
dc.contributor.authorAbbas, Muhammad
dc.contributor.authorIqbal, Muhammad Kashif
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2021-01-28T12:21:12Z
dc.date.available2021-01-28T12:21:12Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractWe present a collocation approach based on redefined cubic B-spline (RCBS) functions and finite difference formulation to study the approximate solution of time fractional Allen-Cahn equation (ACE). We discretize the time fractional derivative of order alpha is an element of (0,1] by using finite forward difference formula and bring RCBS functions into action for spatial discretization. We find that the numerical scheme is of order O(h2+Delta t2-alpha) and unconditionally stable. We test the computational efficiency of the proposed method through some numerical examples subject to homogeneous/nonhomogeneous boundary constraints. The simulation results show a superior agreement with the exact solution as compared to those found in the literature.en_US
dc.description.publishedMonth4
dc.identifier.citationKhalid, Nauman...et al. (2020). "A numerical investigation of Caputo time fractional Allen-Cahn equation using redefined cubic B-spline functions", Advances in Difference Equations, Vol. 2020, No. 1.en_US
dc.identifier.doi10.1186/s13662-020-02616-x
dc.identifier.issn1687-1847
dc.identifier.issue1en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/4490
dc.identifier.volume2020en_US
dc.language.isoenen_US
dc.relation.ispartofAdvances in Difference Equationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectRedefined Cubic B-Spline Functionsen_US
dc.subjectTime Fractional Allen-Cahn Equationen_US
dc.subjectCaputo's Time Fractional Derivativeen_US
dc.subjectStability and Convergenceen_US
dc.subjectFinite Difference Formulationen_US
dc.titleA numerical investigation of Caputo time fractional Allen-Cahn equation using redefined cubic B-spline functionstr_TR
dc.titleA Numerical Investigation of Caputo Time Fractional Allen-Cahn Equation Using Redefined Cubic B-Spline Functionsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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