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Computational study of time-fractional non-linear Kawahara equations using Quintic B-spline and Galerkin's method

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dc.citedby1
dc.contributor.authorArifeen S.U.en_US
dc.contributor.authorAli I.en_US
dc.contributor.authorAhmad I.en_US
dc.contributor.authorShaheen S.en_US
dc.contributor.authorid57204288243en_US
dc.contributor.authorid57211855967en_US
dc.contributor.authorid57220824630en_US
dc.contributor.authorid57697237900en_US
dc.date.accessioned2025-03-03T07:41:24Z
dc.date.available2025-03-03T07:41:24Z
dc.date.issued2024
dc.description.abstractThis study presents two numerical methods focused on Quintic B-spline (QBS) and Galerkin finite element method (GFEM) for solving time-fractional Kawahara equations. The QBS is utilized as both the basis and test function in the FEM approach. We apply Caputo formula with quadrature rule for evaluation of temporal fractional part. The QBS and GFEM formulation are used to approximate the space functions and their derivatives. Furthermore, a four-point Gauss Legendre quadrature is employed to evaluate the source term in the GFEM. The efficiency and accuracy of the proposed scheme are evaluated using the E2 and E� norms. Additionally, Fourier stability analysis is conducted, and it is revealed that the method exhibits unconditional stability. The results, presented in the form of tables and graphs to demonstrate the effectiveness of the scheme. ? 2024 The Author(s)en_US
dc.description.natureFinalen_US
dc.identifier.ArtNo100779
dc.identifier.doi10.1016/j.padiff.2024.100779
dc.identifier.scopus2-s2.0-85208270715
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85208270715&doi=10.1016%2fj.padiff.2024.100779&partnerID=40&md5=47fb261917ee62532529c593eeaa5030
dc.identifier.urihttps://irepository.uniten.edu.my/handle/123456789/36117
dc.identifier.volume12
dc.publisherElsevier B.V.en_US
dc.relation.ispartofAll Open Access; Gold Open Access
dc.sourceScopus
dc.sourcetitlePartial Differential Equations in Applied Mathematics
dc.titleComputational study of time-fractional non-linear Kawahara equations using Quintic B-spline and Galerkin's methoden_US
dc.typeArticleen_US
dspace.entity.typePublication
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