Quarter-sweep modified SOR iterative algorithm and cubic spline basis for the solution of second order two-point boundary value problems

N. I. M. Fauzi, and Jumat Sulaiman, (2012) Quarter-sweep modified SOR iterative algorithm and cubic spline basis for the solution of second order two-point boundary value problems. Journal of Applied Sciences, 12 (17). pp. 1817-1824. ISSN 1812-5654

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Abstract

The aim of this study is to describe the formulation of Quarter-Sweep Modified Successive Over-Relaxation (QSMSOR) iterative method using cubic polynomial spline scheme for solving second order two-point linear boundary value problems. To solve the problems, a linear system will be constructed via discretization process by using cubic spline approximation equation. Then the generated linear system has been solved using the proposed QSMSOR iterative method to show the superiority over Full-Sweep Modified Successive Over-Relaxation (FSMSOR) and Half-Sweep Modified Successive Over-Relaxation (HSMSOR) methods. Computational results are provided to illustrate the effectiveness of the proposed method.

Item Type: Article
Uncontrolled Keywords: Cubic spline scheme, Modfied successive over-relaxation iteration, Quarter-sweep approach, Two-point boundaq value problems, Computational results, Cubic polynomials, Cubic spline, Discretization process, Iterative algorithm, Linear boundary value problem, Quarter-sweep approach, Second orders, Successive over relaxation, Two-point, Two-point boundary value problem, Value problems, Algorithms, Boundary value problems, Interpolation, Linear systems, Polynomial approximation, Iterative methods
Subjects: Q Science > QA Mathematics
Divisions: SCHOOL > School of Science and Technology
Depositing User: Unnamed user with email storage.bpmlib@ums.edu.my
Date Deposited: 09 Nov 2012 08:51
Last Modified: 20 Oct 2017 06:57
URI: http://eprints.ums.edu.my/id/eprint/5363

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