Show simple item record

dc.contributor.authorRashidinia, Jalilen_US
dc.contributor.authorRasoulizadeh, Mohmmad Navazen_US
dc.date.accessioned2021-07-30T11:38:35Z
dc.date.available2021-07-30T11:38:35Z
dc.date.issued2021
dc.identifier.citationRashidinia, J. & Rasoulizadeh, M. N. (2021). Radial basis function generated finite difference method for the solution of sinh-Gordon equation. TWMS Journal of Applied and Engineering Mathematics, 11(3), 893-905.en_US
dc.identifier.issn2146-1147
dc.identifier.issn2587-1013
dc.identifier.urihttps://hdl.handle.net/11729/3207
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/112-vol11-no3/748
dc.description.abstractAccuracy of radial basis functions (RBFs) is increased as the shape parameter decreases and produces an ill-conditioned system. To overcome such difficulty, the global stable computation with Gaussian radial basis function-QR (RBF-QR) method was introduced for a limited number of nodes. The main aim of this work is to develop the stable RBF-QR-FD method in order to obtain numerical solutions for the (1 + 2)-dimensional nonlinear sinh-Gordon (ShG) equation. The efficiency and accuracy of the presented approach are tested by three examples. A comparison between our results and the three methods such as, RBFs collocation based on Kansa’s (RBFK) approach, RBF-Pseudo spectral (RBFPS) and moving least squares (MLS) methods are shown. Furthermore, the stability analysis is proven.en_US
dc.language.isoengen_US
dc.publisherIşık University Pressen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectRadial basis function(RBF)en_US
dc.subjectRBF-QR methoden_US
dc.subjectRBF-QR-FD methoden_US
dc.subjectsinhGordon(ShG) equationen_US
dc.subjectStability analysisen_US
dc.titleRadial basis function generated finite difference method for the solution of sinh-Gordon equationen_US
dc.typearticleen_US
dc.description.versionPublisher's Versionen_US
dc.relation.journalTWMS Journal of Applied and Engineering Mathematicsen_US
dc.identifier.volume11
dc.identifier.issue3
dc.identifier.startpage893
dc.identifier.endpage905
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record

info:eu-repo/semantics/openAccess
Except where otherwise noted, this item's license is described as info:eu-repo/semantics/openAccess