A strong-form local meshless approach based on radial basis function-finite difference (RBF-FD) method for solving multi-dimensional coupled damped Schrodinger system appearing in Bose-Einstein condensates

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dc.contributor.authorOruc, Omer
dc.date.accessioned2024-04-24T16:11:06Z
dc.date.available2024-04-24T16:11:06Z
dc.date.issued2022
dc.departmentDicle Üniversitesien_US
dc.description.abstractIn this work, one-dimensional (1D), two-dimensional (2D) and three-dimensional (3D) coupled damped Schrodinger system is solved numerically. A strong-form local meshless approach established on radial basis function-finite difference (RBF-FD) method for spatial approximation is developed. Polyharmonic splines are used as radial basis function with augmented polynomials. The use of the polyharmonic splines saves us from choosing an optimum shape parameter which is not a simple task for infinitely smooth RBFs such as multiquadrics or Gaussians. For time discretization classical fourth-order Runge Kutta method is utilized. L-infinity error norm and conserved quantities are computed to indicate performance of the proposed method. Stability of the proposed method is examined numerically. Some computer codes are devised in Julia programming language for obtaining numerical results. Acquired numerical results and their comparison with other studies available in literature such as cubic B-spline Galerkin method and direct meshless local Petrov-Galerkin (DMLPG) method endorse the performance and reliability of the proposed method. (C) 2021 Elsevier B.V. All rights reserved.en_US
dc.identifier.doi10.1016/j.cnsns.2021.106042
dc.identifier.issn1007-5704
dc.identifier.issn1878-7274
dc.identifier.scopus2-s2.0-85115779977
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.cnsns.2021.106042
dc.identifier.urihttps://hdl.handle.net/11468/15266
dc.identifier.volume104en_US
dc.identifier.wosWOS:000706374300015
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofCommunications in Nonlinear Science and Numerical Simulation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCoupled Damped Schrodinger Systemen_US
dc.subjectRbf-Fd Methoden_US
dc.subjectLocal Meshless Methoden_US
dc.subjectMulti-Dimensionen_US
dc.titleA strong-form local meshless approach based on radial basis function-finite difference (RBF-FD) method for solving multi-dimensional coupled damped Schrodinger system appearing in Bose-Einstein condensatesen_US
dc.titleA strong-form local meshless approach based on radial basis function-finite difference (RBF-FD) method for solving multi-dimensional coupled damped Schrodinger system appearing in Bose-Einstein condensates
dc.typeArticleen_US

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