relation: https://khub.utp.edu.my/scholars/7915/
title: B-spline collocation method for boundary value problems in complex domains
creator: Hidayat, M.I.P.
creator: Ariwahjoedi, B.
creator: Parman, S.
description: In this paper, an over-determined, global collocation method based upon B-spline basis functions is presented for solving boundary value problems in complex domains. The method was truly meshless approach, hence simple and efficient to programme. In the method, any governing equations were discretised by global B-spline approximation as the B-spline interpolants. As the interpolating B-spline basis functions were chosen, the present method also posed the Kronecker delta property allowing boundary conditions to be incorporated efficiently. The present method showed high accuracy for elliptic partial differential equations in arbitrary domain with Neumann boundary conditions. For coupled Poisson problems with complex Neumann boundary conditions, the boundary collocation approach was adopted and applied in a simple and less costly manner to further improve the accuracy and stability. Applications from elasticity problems were given to demonstrate the efficacy and capability of the present method. In addition, the relation between accuracy and stability for the method was better justified by the new effective condition number given in literature. © Copyright 2016 Inderscience Enterprises Ltd.
publisher: Inderscience Publishers
date: 2016
type: Article
type: PeerReviewed
identifier:   Hidayat, M.I.P. and Ariwahjoedi, B. and Parman, S.  (2016) B-spline collocation method for boundary value problems in complex domains.  International Journal of Computing Science and Mathematics, 7 (2).  pp. 110-125.  ISSN 17525055     
relation: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84969786361&doi=10.1504%2fIJCSM.2016.076392&partnerID=40&md5=0ce68568d82357b453e47882b8dc3177
relation: 10.1504/IJCSM.2016.076392
identifier: 10.1504/IJCSM.2016.076392