A Convergent Two-Level Linear Scheme for the Generalized Rosenau–kdv–rlw Equation

dc.authorid Aydin, Ayhan/0000-0002-0837-9364
dc.authorscopusid 56363624700
dc.authorwosid Aydin, Ayhan/AAL-5690-2020
dc.contributor.author Aydın, Ayhan
dc.contributor.other Mathematics
dc.date.accessioned 2024-07-05T15:28:16Z
dc.date.available 2024-07-05T15:28:16Z
dc.date.issued 2019
dc.department Atılım University en_US
dc.department-temp ATILIM ÜNİVERSİTESİ en_US
dc.description Aydin, Ayhan/0000-0002-0837-9364 en_US
dc.description.abstract A new convergent two-level finite difference scheme is proposed for the numerical solution of initial valueproblem of the generalized Rosenau–KdV–RLW equation. The new scheme is second-order, linear, conservative, andunconditionally stable. It contains one free parameter. The impact of the parameter to error of the numerical solutionis studied. The prior estimate of the finite difference solution is obtained. The existence, uniqueness, and convergence ofthe scheme are proved by the discrete energy method. Accuracy and reliability of the scheme are tested by simulating thesolitary wave graph of the equation. Wave generation subject to initial Gaussian condition has been studied numerically.Different wave generations are observed depending on the dispersion coefficients and the nonlinear advection term.Numerical experiments indicate that the present scheme is conservative, efficient, and of high accuracy, and well simulatesthe solitary waves for a long time. en_US
dc.identifier.citationcount 0
dc.identifier.doi 10.3906/mat-1901-110
dc.identifier.endpage 2245 en_US
dc.identifier.issn 1300-0098
dc.identifier.issn 1303-6149
dc.identifier.issue 5 en_US
dc.identifier.scopus 2-s2.0-85073148133
dc.identifier.scopusquality Q2
dc.identifier.startpage 2226 en_US
dc.identifier.trdizinid 337133
dc.identifier.uri https://doi.org/10.3906/mat-1901-110
dc.identifier.uri https://search.trdizin.gov.tr/tr/yayin/detay/337133/a-convergent-two-level-linear-scheme-for-the-generalized-rosenau-kdv-rlw-equation
dc.identifier.volume 43 en_US
dc.identifier.wos WOS:000488222100014
dc.identifier.wosquality Q2
dc.institutionauthor Aydın, Ayhan
dc.language.iso en en_US
dc.publisher Tubitak Scientific & Technological Research Council Turkey en_US
dc.relation.ispartof Turkish Journal of Mathematics en_US
dc.relation.publicationcategory Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.scopus.citedbyCount 2
dc.subject Matematik en_US
dc.title A Convergent Two-Level Linear Scheme for the Generalized Rosenau–kdv–rlw Equation en_US
dc.type Article en_US
dc.wos.citedbyCount 1
dspace.entity.type Publication
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