A Fully Implicit Finite Difference Approach for Numerical Solution of the Generalized Equal Width (GEW) Equation

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dc.authoridInan, Bilge/0000-0002-6339-5172
dc.authorwosidInan, Bilge/ABG-8888-2021
dc.authorwosidBahadır, Ahmet Refik/AAA-3878-2021
dc.contributor.authorInan, Bilge
dc.contributor.authorBahadir, Ahmet Refik
dc.date.accessioned2024-08-04T20:47:12Z
dc.date.available2024-08-04T20:47:12Z
dc.date.issued2020
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this paper, a fully implicit finite difference method is presented to solve the generalized equal width equation. This implicit method allows to handle any values of p. Since the equation is nonlinear the scheme leads to a system of nonlinear equations. At each time step, Newton's method is used to solve this nonlinear system. The linear stability analysis of the proposed method is investigated using von Neumann approach and at the end of this investigation is seen that the method is unconditionally stable. The results are comparisons with analytical and other numerical values clearly show that results obtained using the fully implicit finite difference scheme are precise and reliable.en_US
dc.identifier.doi10.1007/s40010-019-00594-8
dc.identifier.endpage308en_US
dc.identifier.issn0369-8203
dc.identifier.issn2250-1762
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85081001206en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.startpage299en_US
dc.identifier.urihttps://doi.org/10.1007/s40010-019-00594-8
dc.identifier.urihttps://hdl.handle.net/11616/99208
dc.identifier.volume90en_US
dc.identifier.wosWOS:000536028000012en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherNatl Acad Sciences Indiaen_US
dc.relation.ispartofProceedings of The National Academy of Sciences India Section A-Physical Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectGeneralized equal width equationen_US
dc.subjectFinite differencesen_US
dc.subjectSolitary wavesen_US
dc.titleA Fully Implicit Finite Difference Approach for Numerical Solution of the Generalized Equal Width (GEW) Equationen_US
dc.typeArticleen_US

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