TY  - CONF
PB  - American Institute of Physics Inc.
SN  - 0094243X
EP  - 75
AV  - none
SP  - 69
TI  - Fourth-order solutions of nonlinear two-point boundary value problems by Newton-HSSOR iteration
N1  - cited By 7; Conference of 3rd International Conference on Mathematical Sciences, ICMS 2013 ; Conference Date: 17 December 2013 Through 19 December 2013; Conference Code:106205
Y1  - 2014///
VL  - 1602
A1  - Sulaiman, J.
A1  - Hasan, M.K.
A1  - Othman, M.
A1  - Karim, S.A.A.
UR  - https://www.scopus.com/inward/record.uri?eid=2-s2.0-84904088937&doi=10.1063%2f1.4882468&partnerID=40&md5=aa1feb0a1002ec14cd972f95ba0d4f14
CY  - Kuala Lumpur
ID  - scholars5152
KW  - Boundary value problems; Linear systems; Nonlinear equations; Nonlinear systems; Numerical methods
KW  -  Basic formulation; Finite difference approximations; Fourth-order scheme; Gauss-Seidel; Numerical experiments; SOR iteration; Successive over relaxation; Two-point boundary value problem
KW  -  Iterative methods
N2  - 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.
ER  -