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Some applications of the least squares-residual power series method for fractional generalized long wave equations

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dc.contributor.author Korpinar, Zeliha
dc.contributor.author Baleanu, Dumitru
dc.contributor.author İnç, Mustafa
dc.contributor.author Almohsen, Bandar
dc.date.accessioned 2023-02-22T11:32:30Z
dc.date.available 2023-02-22T11:32:30Z
dc.date.issued 2021
dc.identifier.citation Korpinar, Zeliha...et al. (2021). "Some applications of the least squares-residual power series method for fractional generalized long wave equations", Journal of Ocean Engineering and Science. tr_TR
dc.identifier.issn 2468-0133
dc.identifier.uri http://hdl.handle.net/20.500.12416/6269
dc.description.abstract This article examines a new effective method called the least squares-residual power series method (LS-RPSM) and compares this method with the RPSM. The LS-RPSM assembles the least-squares process with the residual power series method. These techniques are applied to investigate the linear and nonlinear time-fractional regularized long wave equations (TFRLWEs). The RLW models define the shallow water waves in oceans and the internal ion-acoustic waves in plasma. Firstly, we apply the well-known RPSM to acquire approximate solutions. In the next step, the Wronskian determinant is searched in fractional order to show that the functions are linearly independent. After these operations, a system of linear equations is obtained. In the last step, the least-squares algorithm is used to find the necessary coefficients. When this article is examined, it can be said that LS-RPSM is more useful because it requires using fewer terms than the required number of terms when applying the RPSM. Additionally, the experiments show that this method converges better than RPSM. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.joes.2021.09.001 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Caputo Fractional Derivative (CFD) tr_TR
dc.subject LS-RPSM tr_TR
dc.subject Series Solution tr_TR
dc.subject TFRLWEs tr_TR
dc.title Some applications of the least squares-residual power series method for fractional generalized long wave equations tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Ocean Engineering and Science tr_TR
dc.contributor.authorID 56389 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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