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Solving Helmholtz Equation with Local Fractional Derivative Operators

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dc.contributor.author Baleanu, Dumitru
dc.contributor.author Jassim, Hassan Kamil
dc.contributor.author Al Qurashi, Maysaa Mohamed
dc.date.accessioned 2019-12-25T13:13:07Z
dc.date.available 2019-12-25T13:13:07Z
dc.date.issued 2019-09
dc.identifier.citation Baleanu, Dumitru; Jassim, Hassan Kamil; Al Qurashi, Maysaa, "Solving Helmholtz Equation with Local Fractional Derivative Operators", Fractal and Fractional, Vol. 3, No. 3, (September 2019). tr_TR
dc.identifier.uri http://hdl.handle.net/20.500.12416/2293
dc.description.abstract The paper presents a new analytical method called the local fractional Laplace variational iteration method (LFLVIM), which is a combination of the local fractional Laplace transform (LFLT) and the local fractional variational iteration method (LFVIM), for solving the two-dimensional Helmholtz and coupled Helmholtz equations with local fractional derivative operators (LFDOs). The operators are taken in the local fractional sense. Two test problems are presented to demonstrate the efficiency and the accuracy of the proposed method. The approximate solutions obtained are compared with the results obtained by the local fractional Laplace decomposition method (LFLDM). The results reveal that the LFLVIM is very effective and convenient to solve linear and nonlinear PDEs. tr_TR
dc.language.iso eng tr_TR
dc.publisher MDPI tr_TR
dc.relation.isversionof 10.3390/fractalfract3030043 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Coupled Helmholtz Equation tr_TR
dc.subject Local Fractional Variational Iteration Method tr_TR
dc.subject Local Fractional Laplace Transform (LFLT) tr_TR
dc.title Solving Helmholtz Equation with Local Fractional Derivative Operators tr_TR
dc.type article tr_TR
dc.relation.journal Fractal and Fractional tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 3 tr_TR
dc.identifier.issue 3 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü tr_TR


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