Meshless solution of the neutron diffusion equation by the RBF collocation method using optimum shape parameters

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dc.contributor.authorTanbay, Tayfun
dc.date.accessioned2026-02-08T15:04:48Z
dc.date.available2026-02-08T15:04:48Z
dc.date.issued2019
dc.departmentBursa Teknik Üniversitesi
dc.description.abstractThe meshless radial basis function collocation method is an efficient numerical technique for solving partial differential equations. The multiquadric is the most widely utilized radial function for this purpose; but it contains a shape parameter, which has a significant effect on the performance of the method. In this study, the meshless collocation method employing multiquadric as the radial function with optimum shape parameters is applied to the numerical solution of the multigroup neutron diffusion equation. The optimization of the shape parameter is performed by minimizing the Madych-Nelson function. One external and two fission source problems are solved to investigate the performance of the method. The results show that the meshless collocation method with optimized shape parameters yield a high level of accuracy with an exponential convergence rate.
dc.identifier.doi10.38088/jise.570328
dc.identifier.endpage31
dc.identifier.issn2602-4217
dc.identifier.issue1
dc.identifier.startpage23
dc.identifier.urihttps://doi.org/10.38088/jise.570328
dc.identifier.urihttps://hdl.handle.net/20.500.12885/4199
dc.identifier.volume3
dc.language.isoen
dc.publisherBursa Teknik Üniversitesi
dc.relation.ispartofJournal of Innovative Science and Engineering
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_DergiPark_20260207
dc.subjectEngineering
dc.subjectMühendislik
dc.titleMeshless solution of the neutron diffusion equation by the RBF collocation method using optimum shape parameters
dc.typeArticle

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