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

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 sp...

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Main Authors: orizyan Izzati Mohd Fauzi, Jumat Sulaiman
Format: Article
Language:English
Published: Hikari Ltd 2012
Subjects:
Online Access:https://eprints.ums.edu.my/id/eprint/20302/1/Half%20sweep.pdf
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author orizyan Izzati Mohd Fauzi
Jumat Sulaiman
author_facet orizyan Izzati Mohd Fauzi
Jumat Sulaiman
author_sort orizyan Izzati Mohd Fauzi
collection UMS
description 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.
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spelling ums.eprints-203022018-06-21T05:51:14Z https://eprints.ums.edu.my/id/eprint/20302/ Half-sweep modified successive over relaxation method for solving second order two-point boundary value problems using cubic spline orizyan Izzati Mohd Fauzi Jumat Sulaiman QA Mathematics 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. Hikari Ltd 2012 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/20302/1/Half%20sweep.pdf 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 https://www.researchgate.net/publication/235935938_Half-Sweep_Modified_Successive_Over_Relaxation_Method_for_Solving_Second_Order_Two-Point_Boundary_Value_Problems_Using_Cubic_Spline
spellingShingle QA Mathematics
orizyan Izzati Mohd Fauzi
Jumat Sulaiman
Half-sweep modified successive over relaxation method for solving second order two-point boundary value problems using cubic spline
title Half-sweep modified successive over relaxation method for solving second order two-point boundary value problems using cubic spline
title_full Half-sweep modified successive over relaxation method for solving second order two-point boundary value problems using cubic spline
title_fullStr Half-sweep modified successive over relaxation method for solving second order two-point boundary value problems using cubic spline
title_full_unstemmed Half-sweep modified successive over relaxation method for solving second order two-point boundary value problems using cubic spline
title_short Half-sweep modified successive over relaxation method for solving second order two-point boundary value problems using cubic spline
title_sort half sweep modified successive over relaxation method for solving second order two point boundary value problems using cubic spline
topic QA Mathematics
url https://eprints.ums.edu.my/id/eprint/20302/1/Half%20sweep.pdf
work_keys_str_mv AT orizyanizzatimohdfauzi halfsweepmodifiedsuccessiveoverrelaxationmethodforsolvingsecondordertwopointboundaryvalueproblemsusingcubicspline
AT jumatsulaiman halfsweepmodifiedsuccessiveoverrelaxationmethodforsolvingsecondordertwopointboundaryvalueproblemsusingcubicspline