Meshless local petrov-galerkin method for the two-dimensional diffusion problem with non-local boundary condition

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Publication Details

Author list: Techapirom T., Luadsong A.

Publisher: Pushpa

Publication year: 2013

Journal: Far East Journal of Mathematical Sciences (0972-0871)

Volume number: 72

Issue number: 1

Start page: 37

End page: 56

Number of pages: 20

ISSN: 0972-0871

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84872536983&partnerID=40&md5=7bf83192ba08beb8e6b40db2d6151db6

Languages: English-Great Britain (EN-GB)

Abstract

In this paper, a meshless local Petrov-Galerkin (MLPG) method is presented to treat the diffusion equation with non-local boundary condition on a square domain. General papers use a penalty parameter imposed on Dirichlet's boundary conditions for mixed problems. For this method, we use a penalty parameter imposed at Dirichlet's and Neumann's boundary conditions for mixed problems with non-local boundary conditions in each sub-domain. This implementation is verified to be efficient, more accurate and truly meshless. ฉ 2013 Pushpa Publishing House.

Keywords

Diffusion equation, Dirichlet's and neumann's boundary conditions, MLPG, MLS, Non-local boundary condition