Comparison of two reliable methods to solve fractional Rosenau-Hyman equation

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dc.authoridSenol, Mehmet/0000-0001-8110-7739
dc.contributor.authorSenol, Mehmet
dc.contributor.authorTasbozan, Orkun
dc.contributor.authorKurt, Ali
dc.date.accessioned2024-09-18T20:06:28Z
dc.date.available2024-09-18T20:06:28Z
dc.date.issued2021
dc.departmentHatay Mustafa Kemal Üniversitesien_US
dc.description.abstractIn this study, we examine the numerical solutions of the time-fractional Rosenau-Hyman equation, which is a KdV-like model. This model demonstrates the formation of patterns in liquid drops. For this purpose, two reliable methods, residual power series method (RPSM) and perturbation-iteration algorithm (PIA), are used to obtain approximate solutions of the model. The fractional derivative is taken in the Caputo sense. Obtained results are compared with each other and the exact solutions both numerically and graphically. The outcome shows that both methods are easy to implement, powerful, and reliable. So they are ready to implement for a variety of partial fractional differential equations.en_US
dc.identifier.doi10.1002/mma.5497
dc.identifier.endpage7914en_US
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.issue10en_US
dc.identifier.scopus2-s2.0-85060767669en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage7904en_US
dc.identifier.urihttps://doi.org/10.1002/mma.5497
dc.identifier.urihttps://hdl.handle.net/20.500.12483/8537
dc.identifier.volume44en_US
dc.identifier.wosWOS:000657477500004en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.ispartofMathematical Methods in The Applied Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCaputo fractional derivativeen_US
dc.subjectfractional partial differential equationsen_US
dc.subjectperturbation-iteration algorithmen_US
dc.subjectresidual power series methoden_US
dc.titleComparison of two reliable methods to solve fractional Rosenau-Hyman equationen_US
dc.typeArticleen_US

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