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Numerical Solutions of Nonlinear Second-Order Two-Point Boundary Value Problems Using Half-Sweep SOR With Newton Method

SULAIMAN, JUMAT and ABDUL KARIM, SAMSUL ARIFFIN (2012) Numerical Solutions of Nonlinear Second-Order Two-Point Boundary Value Problems Using Half-Sweep SOR With Newton Method. In: INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS & APPROXIMATION THEORY (AMAT) 2012, MAY 17-20, 2012, ANKARA, TURKEY .

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Abstract

In this paper, we examine the performance of Half-Sweep Succesive Over- Relaxation (HSSOR) iterative method together with Newton scheme namely Newton-HSSOR in solving the nonlinear systems generated from second-order �nite di�erence discretization of the nonlinear second-order two-point boundary value problems. As well known that to linearize nonlinear systems, the Newton scheme has been used to transform the nonlinear system into the form of linear system. Then the basic formulation and implementation of Newton-HSSOR iterative methods are also presented. Numerical results for three test examples have demonstrated the performance of Newton-HSSOR method compared to other existing SOR methods

Item Type:Conference or Workshop Item (Paper)
Subjects:Q Science > QA Mathematics
ID Code:8659
Deposited By: Samsul Ariffin Abdul Karim
Deposited On:13 Dec 2012 11:39
Last Modified:19 Jan 2017 08:21

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