Lucas Operational Matrix Approach for Solving the Fractional Klein–Gordon Equation

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dc.authorscopusidTofigh Allahviranloo / 8834494700
dc.authorwosidTofigh Allahviranloo / V-4843-2019
dc.contributor.authorKhajehnasiri, A.A.
dc.contributor.authorKermani, M. Afshar
dc.contributor.authorAllahviranloo, Tofigh
dc.date.accessioned2025-04-16T19:36:54Z
dc.date.available2025-04-16T19:36:54Z
dc.date.issued2024
dc.departmentİstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Yazılım Mühendisliği Bölümü
dc.description.abstractIn this work, an efficient computational technique based on Lucas polynomials has been extended to approximately solve a certain class of fractional diffusion equations. Fractional order Lucas polynomials were used to represent the operational matrix of differentiation and integration. Subsequently, the fractional Klein–Gordon equation was reduced to a system of algebraic equations whose solution can be found through suitable algorithms such as Gauss elimination and Newton–Raphson methods. Based on the numerical results obtained, the proposed technique demonstrates a high level of efficiency and precision. © The Author(s), under exclusive licence to Shiraz University 2024.
dc.identifier.citationKhajehnasiri, A. A., Kermani, M. A., & Allahviranloo, T. (2024). Lucas Operational Matrix Approach for Solving the Fractional Klein–Gordon Equation. Iranian Journal of Science, 1-10.
dc.identifier.doi10.1007/s40995-024-01744-3
dc.identifier.issn27318095
dc.identifier.scopusqualityQ4
dc.identifier.urihttp://dx.doi.org/10.1007/s40995-024-01744-3
dc.identifier.urihttps://hdl.handle.net/20.500.12713/6053
dc.identifier.wosWOS:001385128600001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakScopus
dc.indekslendigikaynakWeb of Science
dc.institutionauthorAllahviranloo, Tofigh
dc.institutionauthoridTofigh Allahviranloo / 0000-0002-6673-3560
dc.language.isoen
dc.publisherSpringer Science and Business Media Deutschland GmbH
dc.relation.ispartofIranian Journal of Science
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectFractional Calculus
dc.subjectKlein–Gordon Equation
dc.subjectLucas Polynomials
dc.subjectOperational Matrix
dc.titleLucas Operational Matrix Approach for Solving the Fractional Klein–Gordon Equation
dc.typeArticle

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