Half-sweep modified successive over relaxation method for solving second order two-point boundary value problems using cubic spline

orizyan Izzati Mohd Fauzi, and Jumat Sulaiman, (2012) Half-sweep modified successive over relaxation method for solving second order two-point boundary value problems using cubic spline. International Journal of Contemporary Mathematical Sciences, 7 (32). pp. 1579-1589. ISSN 1312-7586

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Abstract

The aim of this paper is to discuss the application of Half-Sweep Modified Successive Over Relaxation (HSMSOR) iterative method for solving second order two-point boundary value problems. The effectiveness of the proposed HSMSOR method is examined by solving linear system generated from the cubic spline discretization of second order two-point boundary value problems. In addition, the formulation and implementation of the proposed method are also presented. The results obtained from the proposed HSMSOR method with cubic spline scheme are compared with the results of Full-Sweep Successive Over Relaxation (FSSOR) and Half-Sweep Successive Over Relaxation (HSSOR) methods to demonstrate computationally their effectiveness.

Item Type: Article
Uncontrolled Keywords: Cubic Spline Scheme, Half-Sweep Iteration, MSOR method
Subjects: Q Science > QA Mathematics
Divisions: FACULTY > Faculty of Science and Natural Resources
Depositing User: Munira
Date Deposited: 21 Jun 2018 05:51
Last Modified: 21 Jun 2018 05:51
URI: http://eprints.ums.edu.my/id/eprint/20302

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