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New numerical solutions of fractional-order Korteweg-de Vries equation

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dc.contributor.authorInc, Mustafa
dc.contributor.authorParto-Haghighi, Mohammad
dc.contributor.authorAkinlar, Mehmet Ali
dc.contributor.authorChu, Yu-Ming
dc.date.accessioned2026-06-27T14:34:58Z
dc.date.issued2020
dc.description.abstractWe present new solutions of fractional-order Korteweg-de Vries (KdV) equation by employing a method that utilizes advantages of both techniques of fictititous time integration and group preserving. Proposed method converts the KdV to a new system of equations which is approximately solved by a semi-discretization numerical scheme. Caputo type fractional-order derivative operators are used. We apply the method to some specific cases of the KdV equation. Computational results indicate that the method gives new and highly efficient solutions of the KdV equation.en
dc.description.sponsorshipNatural Science Foundation of China [61673169, 11301127, 11701176, 11626101, 11601485]
dc.description.urihttps://doi.org/10.1016/j.rinp.2020.103326
dc.identifier.doi10.1016/j.rinp.2020.103326
dc.identifier.issn2211-3797
dc.identifier.urihttps://hdl.handle.net/20.500.14981/62341
dc.identifier.volume19
dc.identifier.wos000604211100005
dc.language.isoeng
dc.publisherELSEVIER
dc.relation.ispartofRESULTS IN PHYSICS
dc.rightsopenAccess
dc.subjectTime fractional Korteweg de Vries equation
dc.subjectFictitious time integration
dc.subjectGroup preserving scheme (GPS)
dc.subjectCaputo derivative
dc.subjectGROUP PRESERVING SCHEME
dc.subjectKLEIN-GORDON EQUATIONS
dc.subjectGROUP SHOOTING METHOD
dc.subjectDIFFUSION
dc.subjectMODELS
dc.subjectMaterials Science
dc.subjectPhysics
dc.titleNew numerical solutions of fractional-order Korteweg-de Vries equation
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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