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An Efficient Numerical Solution of a Multi-Dimensional Two-Term Fractional Order PDE via a Hybrid Methodology: The Caputo?Lucas?Fibonacci Approach with Strang Splitting

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dc.citedby1
dc.contributor.authorAhmad I.en_US
dc.contributor.authorAlshammari A.O.en_US
dc.contributor.authorJan R.en_US
dc.contributor.authorRazak N.N.A.en_US
dc.contributor.authorIdris S.A.en_US
dc.contributor.authorid57220824630en_US
dc.contributor.authorid59156924200en_US
dc.contributor.authorid57205596279en_US
dc.contributor.authorid37059587300en_US
dc.contributor.authorid57226267577en_US
dc.date.accessioned2025-03-03T07:42:44Z
dc.date.available2025-03-03T07:42:44Z
dc.date.issued2024
dc.description.abstractThe utilization of time-fractional PDEs in diverse fields within science and technology has attracted significant interest from researchers. This paper presents a relatively new numerical approach aimed at solving two-term time-fractional PDE models in two and three dimensions. We combined the Liouville?Caputo fractional derivative scheme with the Strang splitting algorithm for the temporal component and employed a meshless technique for spatial derivatives utilizing Lucas and Fibonacci polynomials. The rising demand for meshless methods stems from their inherent mesh-free nature and suitability for higher dimensions. Moreover, this approach demonstrates the effective approximation of solutions across both regular and irregular domains. Error norms were used to assess the accuracy of the methodology across both regular and irregular domains. A comparative analysis was conducted between the exact solution and alternative numerical methods found in the contemporary literature. The findings demonstrate that our proposed approach exhibited better performance while demanding fewer computational resources. ? 2024 by the authors.en_US
dc.description.natureFinalen_US
dc.identifier.ArtNo364
dc.identifier.doi10.3390/fractalfract8060364
dc.identifier.issue6
dc.identifier.scopus2-s2.0-85196879105
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85196879105&doi=10.3390%2ffractalfract8060364&partnerID=40&md5=c76915d2defcbb68ea8da526489a419b
dc.identifier.urihttps://irepository.uniten.edu.my/handle/123456789/36500
dc.identifier.volume8
dc.publisherMultidisciplinary Digital Publishing Institute (MDPI)en_US
dc.relation.ispartofAll Open Access; Gold Open Access
dc.sourceScopus
dc.sourcetitleFractal and Fractional
dc.titleAn Efficient Numerical Solution of a Multi-Dimensional Two-Term Fractional Order PDE via a Hybrid Methodology: The Caputo?Lucas?Fibonacci Approach with Strang Splittingen_US
dc.typeArticleen_US
dspace.entity.typePublication
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