relation: https://khub.utp.edu.my/scholars/5152/
title: Fourth-order solutions of nonlinear two-point boundary value problems by Newton-HSSOR iteration
creator: Sulaiman, J.
creator: Hasan, M.K.
creator: Othman, M.
creator: Karim, S.A.A.
description: In this paper, the Half-Sweep Successive Over-Relaxation (HSSOR) iterative method together with Newton scheme namely Newton-HSSOR is investigated in solving the nonlinear systems generated from the fourth-order half-sweep finite difference approximation equation for nonlinear two-point boundary value problems. The Newton scheme is proposed to linearize the nonlinear system into the form of linear system. On top of that, we also present the basic formulation and implementation of Newton-HSSOR iterative method. For comparison purpose, combinations between the Full-Sweep Gauss-Seidel (FSGS) and Full-Sweep Successive Over-Relaxation (FSSOR) iterative methods with Newton scheme, which are indicated as Newton-FSGS and Newton-FSSOR methods respectively have been implemented numerically. Numerical experiments of two problems are given to illustrate that the Newton-HSSOR method is more superior compared with the tested methods. © 2014 AIP Publishing LLC.
publisher: American Institute of Physics Inc.
date: 2014
type: Conference or Workshop Item
type: PeerReviewed
identifier:   Sulaiman, J. and Hasan, M.K. and Othman, M. and Karim, S.A.A.  (2014) Fourth-order solutions of nonlinear two-point boundary value problems by Newton-HSSOR iteration.  In: UNSPECIFIED.     
relation: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84904088937&doi=10.1063%2f1.4882468&partnerID=40&md5=aa1feb0a1002ec14cd972f95ba0d4f14
relation: 10.1063/1.4882468
identifier: 10.1063/1.4882468