Numerical Solutions of the Kawahara Equation by the Septic B-Spline Collocation Method

dc.contributor.author Karakoç, Seydi Battal Gazi
dc.contributor.author Zeybek, Halil
dc.contributor.author Ak, Turgut
dc.date.accessioned 2024-06-26T12:35:09Z
dc.date.available 2024-06-26T12:35:09Z
dc.date.issued 2014 en_US
dc.date.issued 2014
dc.description.abstract In this article, a numerical solution of the Kawahara equation is presented by septic B-spline collocation method. Applying the Von-Neumann stability analysis, the present method is shown to be unconditionally stable. The accuracy of the proposed method is checked by two test problems. L<inf>2</inf> and L<inf>∞</inf> error norms and conserved quantities are given at selected times. The obtained results are found in good agreement with the some recent results. © 2016 Elsevier B.V., All rights reserved. en_US
dc.identifier.doi 10.19139/soic.v2i3.74
dc.identifier.issn 2310-5070
dc.identifier.issn 2311-004X
dc.identifier.scopus 2-s2.0-85006351951
dc.identifier.uri https://doi.org/10.19139/soic.v2i3.74
dc.identifier.uri https://hdl.handle.net/20.500.12573/2214
dc.language.iso en en_US
dc.publisher International Academic Press en_US
dc.relation.ispartof Statistics, Optimization and Information Computing en_US
dc.relation.isversionof 10.19139/soic.v2i3.74 en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Collocation en_US
dc.subject Finite Element Method en_US
dc.subject Kawahara Equation en_US
dc.subject Septic B-Splines en_US
dc.subject Solitary Waves en_US
dc.title Numerical Solutions of the Kawahara Equation by the Septic B-Spline Collocation Method en_US
dc.type Article en_US
dspace.entity.type Publication
gdc.author.scopusid 55263002800
gdc.author.scopusid 56433365000
gdc.author.scopusid 56433137600
gdc.bip.impulseclass C5
gdc.bip.influenceclass C5
gdc.bip.popularityclass C4
gdc.coar.access open access
gdc.coar.type text::journal::journal article
gdc.collaboration.industrial false
gdc.description.department AGÜ en_US
gdc.description.departmenttemp [Karakoç] Seydi Battal Gazi, Nevşehir Haci Bektaş Veli Üniversitesi, Nevsehir, Turkey; [Zeybek] Halil, Abdullah Gül Üniversitesi, Kayseri, Turkey; [Ak] Turgut, Armutlu Vocational School, Yalova Üniversitesi, Yalova, Turkey en_US
gdc.description.endpage 221 en_US
gdc.description.issue 3 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q3
gdc.description.startpage 211 en_US
gdc.description.volume 2 en_US
gdc.description.wosquality N/A
gdc.identifier.openalex W1482346891
gdc.index.type Scopus
gdc.oaire.accesstype GOLD
gdc.oaire.diamondjournal false
gdc.oaire.downloads 29
gdc.oaire.impulse 0.0
gdc.oaire.influence 3.205835E-9
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gdc.oaire.keywords Finite element method
gdc.oaire.keywords Septic
gdc.oaire.keywords Kawahara equation
gdc.oaire.keywords Septic B-Splines
gdc.oaire.keywords Collocation
gdc.oaire.keywords Solitary waves
gdc.oaire.popularity 8.393733E-9
gdc.oaire.publicfunded false
gdc.oaire.sciencefields 0101 mathematics
gdc.oaire.sciencefields 01 natural sciences
gdc.oaire.views 111
gdc.openalex.collaboration National
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gdc.opencitations.count 3
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