Discussion of numerical and analytical techniques for the emerging fractional order murnaghan model in materials science

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dc.contributor.authorDuran S.
dc.contributor.authorDurur H.
dc.contributor.authorYavuz M.
dc.contributor.authorYokus A.
dc.date.accessioned2023-11-07T14:11:42Z
dc.date.available2023-11-07T14:11:42Z
dc.date.issued2023en_US
dc.departmentİstanbul Ticaret Üniversitesien_US
dc.description.abstractThe Murnaghan model of the doubly dispersive equation, which is well-known in the feld of materials research, is taken into consideration in this work. This equation is resolved using three diferent mathematical methods. The analytical method can produce traveling wave solutions by utilizing the wave transform. While bright-dark soliton and bright opti cal soliton solutions are produced by using auxiliary equation method, hyperbolic type traveling wave solutions are produced with the 1?G? -expansion method. The solutions produced by both analytical methods are diferent from the literature. A new discussion area is created using traveling wave solutions to this problem, which also has a Conform able derivative operator. It is a cognitive fact that the solutions of partial diferential equa tions shed light on the physical phenomenon. In light of this scientifc fact, it comprises scientifc debates that take into account the material’s density diference, Poisson’s ratio, material-specifc wave velocity, and laboratory predefned values. These discussions are supported by the solutions obtained by numerical technique. In addition, the accuracy of the results obtained with the numerical technique is analyzed with the L2 and L? norm errors and the datas have been compared with the table. After discussing the advantages and disadvantages of both mathematical techniques, scientifc interpretations that will shed light on physical and chemical phenomena, the efects of parameters on the solution func tion through traveling wave solutions are discussed and supported by graphics.en_US
dc.identifier.doi10.1007/s11082-023-04838-1en_US
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85159853045en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://hdl.handle.net/11467/6931
dc.identifier.urihttps://doi.org/10.1007/s11082-023-04838-1
dc.identifier.volume55en_US
dc.identifier.wosWOS:000981630700002en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofOptical and Quantum Electronicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US
dc.rightsinfo:eu-repo/semantics/embargoedAccessen_US
dc.subjectDoubly dispersive equation, 1 / G′- expansion method, Auxiliary equation method, Modifed laplace decomposition method, Error norms, Numerical analysisen_US
dc.titleDiscussion of numerical and analytical techniques for the emerging fractional order murnaghan model in materials scienceen_US
dc.typeArticleen_US

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