Numerical Analysis of Time-Fractional Diffusion Equations via a Novel Approach

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dc.authoridShah, Nehad Ali/0000-0002-1949-5643
dc.authoridsaleem, Salman/0000-0001-6217-3626
dc.authoridNonlaopon, Kamsing/0000-0002-7469-5402
dc.contributor.authorShah, Nehad Ali
dc.contributor.authorSaleem, S.
dc.contributor.authorAkgul, Ali
dc.contributor.authorNonlaopon, Kamsing
dc.contributor.authorChung, Jae Dong
dc.date.accessioned2024-12-24T19:29:49Z
dc.date.available2024-12-24T19:29:49Z
dc.date.issued2021
dc.departmentSiirt Üniversitesi
dc.description.abstractThe aim of this paper is a new semianalytical technique called the variational iteration transform method for solving fractional-order diffusion equations. In the variational iteration technique, identifying of the Lagrange multiplier is an essential rule, and variational theory is commonly used for this purpose. The current technique has the edge over other methods as it does not need extra parameters and polynomials. The validity of the proposed method is verified by considering some numerical problems. The solution achieved has shown that the better accuracy of the proposed technique. This paper proposes a simpler method to calculate the multiplier using the Shehu transformation, making a valuable technique to researchers dealing with various linear and nonlinear problems.
dc.description.sponsorshipDeanship of Scientific Research at King Khalid University [RGP.2/38/42]; Korea Institute of Energy Technology Evaluation and Planning (KETEP) - Korea government (MOTIE) [20202020900060]
dc.description.sponsorshipThe authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through a research group program under Grant No. RGP.2/38/42. This work was supported by Korea Institute of Energy Technology Evaluation and Planning (KETEP) grant funded by the Korea government (MOTIE) (20202020900060, The Development and Application of Operational Technology in Smart Farm Utilizing Waste Heat from Particulates Reduced Smokestack)
dc.identifier.doi10.1155/2021/9945364
dc.identifier.issn2314-8896
dc.identifier.issn2314-8888
dc.identifier.scopus2-s2.0-85107820633
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1155/2021/9945364
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7243
dc.identifier.volume2021
dc.identifier.wosWOS:000665104700002
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherHindawi Ltd
dc.relation.ispartofJournal of Function Spaces
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.titleNumerical Analysis of Time-Fractional Diffusion Equations via a Novel Approach
dc.typeArticle

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