dc.contributor.author Izadi, Mohammad en_US dc.date.accessioned 2021-07-28T08:32:20Z dc.date.available 2021-07-28T08:32:20Z dc.date.issued 2021 dc.identifier.citation Izadi, M. (2021). An approximation technique for first Painlevé equation. TWMS Journal of Applied and Engineering Mathematics, 11(3), 739-750. en_US dc.identifier.issn 2146-1147 dc.identifier.issn 2587-1013 dc.identifier.uri https://hdl.handle.net/11729/3193 dc.identifier.uri http://jaem.isikun.edu.tr/web/index.php/archive/112-vol11-no3/734 dc.description.abstract In this study, we introduce a new approximative algorithm to get numerical solutions of the nonlinear first Painlevé equation. Indeed, to obtain an approximate solution, a combination of exponential matrix method based on collocation points and quasilinearization technique is used. The quasilinearization method is used to transform the original non-linear problem to a sequence of linear equations while the exponential collocation method is employed to solve the resulting linear equations iteratively. Furthermore, since the exact solution of the model problem is not known, an error estimation based on the residual functions is presented to check the accuracy of the proposed method. Finally, the benefits of the method are illustrated with the aid of numerical calculations. Comparisons with other well-known schemes show that the combined technique is easy to implement while capable of giving results of very high accuracy with a relatively low number of exponential functions. en_US dc.language.iso eng en_US dc.publisher Işık University Press en_US dc.rights info:eu-repo/semantics/openAccess en_US dc.rights Attribution-NonCommercial-NoDerivs 3.0 United States * dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/us/ * dc.subject Collocation points en_US dc.subject Exponential functions en_US dc.subject Painlevé equation en_US dc.subject Quasilinearization method en_US dc.title An approximation technique for first Painlevé equation en_US dc.type article en_US dc.description.version Publisher's Version en_US dc.relation.journal TWMS Journal of Applied and Engineering Mathematics en_US dc.identifier.volume 11 dc.identifier.issue 3 dc.identifier.startpage 739 dc.identifier.endpage 750 dc.peerreviewed Yes en_US dc.publicationstatus Published en_US dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı en_US
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