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Numerical Treatment of Time-Fractional Klein–Gordon Equation Using Redefined Extended Cubic B-Spline Functions

dc.contributor.authorAmin, Muhammad
dc.contributor.authorAbbas, Muhammad
dc.contributor.authorIqbal, Muhammad Kashif
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-08-29T11:51:41Z
dc.date.available2022-08-29T11:51:41Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this article we develop a numerical algorithm based on redefined extended cubic B-spline functions to explore the approximate solution of the time-fractional Klein–Gordon equation. The proposed technique employs the finite difference formulation to discretize the Caputo fractional time derivative of order α ∈ (1, 2] and uses redefined extended cubic B-spline functions to interpolate the solution curve over a spatial grid. A stability analysis of the scheme is conducted, which confirms that the errors do not amplify during execution of the numerical procedure. The derivation of a uniform convergence result reveals that the scheme is O(h2 + Δt2−α) accurate. Some computational experiments are carried out to verify the theoretical results. Numerical simulations comparing the proposed method with existing techniques demonstrate that our scheme yields superior outcomes.en_US
dc.description.publishedMonth9
dc.identifier.citationAmin, Muhammad...et al. (2020). "Numerical Treatment of Time-Fractional Klein–Gordon Equation Using Redefined Extended Cubic B-Spline Functions", Frontiers in Physics, Vol. 8.en_US
dc.identifier.doi10.3389/fphy.2020.00288
dc.identifier.issn2296-424X
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5786
dc.identifier.volume8en_US
dc.language.isoenen_US
dc.relation.ispartofFrontiers in Physicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCaputo Fractional Derivativeen_US
dc.subjectConvergence Analysisen_US
dc.subjectFinite Difference Methoden_US
dc.subjectRedefined Extended Cubic B-Splineen_US
dc.subjectTime Fractional Klein-Gorden Equationen_US
dc.titleNumerical Treatment of Time-Fractional Klein–Gordon Equation Using Redefined Extended Cubic B-Spline Functionstr_TR
dc.titleNumerical Treatment of Time-Fractional Klein–gordon Equation Using Redefined Extended Cubic B-Spline Functionsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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