Symmetric radial basis function method for simulation of elliptic partial differential equations

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

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Publication Details

Author list: Thounthong P., Khan M.N., Hussain I., Ahmad I., Kumam P.

Publisher: MDPI

Publication year: 2018

Journal: Mathematics (2227-7390)

Volume number: 6

Issue number: 12

ISSN: 2227-7390

eISSN: 2227-7390

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85059451174&doi=10.3390%2fmath6120327&partnerID=40&md5=28eccd0136531516a65742bd12270f4c

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper, the symmetric radial basis function method is utilized for the numerical solution of two- and three-dimensional elliptic PDEs. Numerical results are obtained by using a set of uniform or random points. Numerical tests are accomplished to demonstrate the efficacy and accuracy of the method on both regular and irregular domains. Furthermore, the proposed method is tested for the solution of elliptic PDE in the case of various frequencies. ฉ 2018 by the authors.

Keywords

Helmholtz equation, Poisson equation, Radial Basis Function