DSpace logo

Please use this identifier to cite or link to this item: http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/16928
Full metadata record
DC FieldValueLanguage
dc.contributor.authorRana, Anirudh Singh-
dc.date.accessioned2025-01-27T12:13:08Z-
dc.date.available2025-01-27T12:13:08Z-
dc.date.issued2024-05-
dc.identifier.urihttps://www.tandfonline.com/doi/full/10.1080/23324309.2024.2345642-
dc.identifier.urihttp://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/16928-
dc.description.abstractIn this study, an efficient meshfree numerical method is introduced for solving the nonlinear boundary value problems. The method of fundamental solutions (MFS) is one of the most popular among meshfree methods. While traditionally limited to linear and homogeneous problems, this study extends the applicability of the MFS to include nonhomogeneous and nonlinear equations. To achieve this, an extended MFS is combined with a fixed-point iteration scheme. This developed framework is benchmarked to address two different flow problems. The first involves fluid flow through porous media in a channel governed by the nonlinear Brinkman-Forchheimer equation. The second problem pertains to electrohydrodynamic (EHD) flow in a circular conduit. The obtained solutions are compared with the finite element method and the solutions available in the existing literature.en_US
dc.language.isoenen_US
dc.publisherTaylor & Francisen_US
dc.subjectMathematicsen_US
dc.subjectExtended MFSen_US
dc.subjectFixed point iterationen_US
dc.subjectNonlinear equationen_US
dc.subjectPorous mediaen_US
dc.subjectEHD flowen_US
dc.titleA novel meshfree method for nonlinear equations in flow through porous media and electrohydrodynamic flowsen_US
dc.typeArticleen_US
Appears in Collections:Department of Mathematics

Files in This Item:
There are no files associated with this item.


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.