An efficient Strang splitting technique combined with the multiquadric-radial basis function for the Burgers' equation

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dc.authoridUÇAR, Yusuf/0000-0003-1469-5002
dc.authoridSEYDAOGLU, MUAZ/0000-0003-3211-0864
dc.authorwosidseydaoğlu, muaz/ABF-4604-2021
dc.authorwosidUÇAR, Yusuf/ABG-8562-2020
dc.contributor.authorSeydaoglu, Muaz
dc.contributor.authorUcar, Yusuf
dc.contributor.authorKutluay, Selcuk
dc.date.accessioned2024-08-04T20:50:52Z
dc.date.available2024-08-04T20:50:52Z
dc.date.issued2021
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn the present paper, two effective numerical schemes depending on a second-order Strang splitting technique are presented to obtain approximate solutions of the one-dimensional Burgers' equation utilizing the collocation technique and approximating directly the solution by multiquadric-radial basis function (MQ-RBF) method. To show the performance of both schemes, we have considered two examples of Burgers' equation. The obtained numerical results are compared with the available exact values and also those of other publishedmethods. Moreover, the computed L-2 and L-infinity error norms have been given. It is found that the presented schemes produce better results as compared to those obtained almost all the schemes present in the literature.en_US
dc.identifier.doi10.1007/s40314-021-01692-3
dc.identifier.issn2238-3603
dc.identifier.issn1807-0302
dc.identifier.issue8en_US
dc.identifier.scopus2-s2.0-85119429785en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1007/s40314-021-01692-3
dc.identifier.urihttps://hdl.handle.net/11616/100317
dc.identifier.volume40en_US
dc.identifier.wosWOS:000720423900001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Heidelbergen_US
dc.relation.ispartofComputational & Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBurgers' equationen_US
dc.subjectStrang splittingen_US
dc.subjectMultiquadric-radial basis functionen_US
dc.titleAn efficient Strang splitting technique combined with the multiquadric-radial basis function for the Burgers' equationen_US
dc.typeArticleen_US

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