Application of half-sweep sor iteration with nonlocal arithmetic discretization scheme for solving Burger's equation

In this paper, the Burger’s equations have been approximated by using the second-order finite difference scheme and the half-sweep nonlocal arithmetic discretization scheme to construct the half-sweep generated linear system. Then, we investigate the applicable formulation of Half-sweep SuccessiveOv...

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প্রধান লেখক: N. F. A. Zainal, Sulaiman, Jumat, M. U. Alibubin
বিন্যাস: প্রবন্ধ
ভাষা:English
English
প্রকাশিত: Asian Research Publishing Network 2019
বিষয়গুলি:
অনলাইন ব্যবহার করুন:https://eprints.ums.edu.my/id/eprint/29053/1/Application%20of%20half-sweep%20sor%20iteration%20with%20nonlocal%20arithmetic%20discretization%20scheme%20for%20solving%20Burger%27s%20equation%20ABSTRACT.pdf
https://eprints.ums.edu.my/id/eprint/29053/2/Application%20of%20half-sweep%20sor%20iteration%20with%20nonlocal%20arithmetic%20discretization%20scheme%20for%20solving%20Burger%27s%20equation%20FULL%20TEXT.pdf
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author N. F. A. Zainal
Sulaiman, Jumat
M. U. Alibubin
author_facet N. F. A. Zainal
Sulaiman, Jumat
M. U. Alibubin
author_sort N. F. A. Zainal
collection UMS
description In this paper, the Burger’s equations have been approximated by using the second-order finite difference scheme and the half-sweep nonlocal arithmetic discretization scheme to construct the half-sweep generated linear system. Then, we investigate the applicable formulation of Half-sweep SuccessiveOver Relaxation (HSSOR) iterative method for solving this linear system. In order to verify the effectiveness of the HSSOR iterative method, this paper also included the Fullsweep Successive OverRelaxation (FSSOR) and Full-Sweep Gauss-Seidel (FSGS) iterative methods. The performance analysis of these three proposed iterative methods is illustrated by solving four proposed Burger’s problems. The numerical results illustrate the great performance of the HSSOR iterative method together with half-sweep nonlocal arithmetic discretization scheme to solve the Burger’s equations in senses of execution time and number of iterations.
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spelling ums.eprints-290532021-09-20T01:39:17Z https://eprints.ums.edu.my/id/eprint/29053/ Application of half-sweep sor iteration with nonlocal arithmetic discretization scheme for solving Burger's equation N. F. A. Zainal Sulaiman, Jumat M. U. Alibubin QA101-(145) Elementary mathematics. Arithmetic In this paper, the Burger’s equations have been approximated by using the second-order finite difference scheme and the half-sweep nonlocal arithmetic discretization scheme to construct the half-sweep generated linear system. Then, we investigate the applicable formulation of Half-sweep SuccessiveOver Relaxation (HSSOR) iterative method for solving this linear system. In order to verify the effectiveness of the HSSOR iterative method, this paper also included the Fullsweep Successive OverRelaxation (FSSOR) and Full-Sweep Gauss-Seidel (FSGS) iterative methods. The performance analysis of these three proposed iterative methods is illustrated by solving four proposed Burger’s problems. The numerical results illustrate the great performance of the HSSOR iterative method together with half-sweep nonlocal arithmetic discretization scheme to solve the Burger’s equations in senses of execution time and number of iterations. Asian Research Publishing Network 2019 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/29053/1/Application%20of%20half-sweep%20sor%20iteration%20with%20nonlocal%20arithmetic%20discretization%20scheme%20for%20solving%20Burger%27s%20equation%20ABSTRACT.pdf text en https://eprints.ums.edu.my/id/eprint/29053/2/Application%20of%20half-sweep%20sor%20iteration%20with%20nonlocal%20arithmetic%20discretization%20scheme%20for%20solving%20Burger%27s%20equation%20FULL%20TEXT.pdf N. F. A. Zainal and Sulaiman, Jumat and M. U. Alibubin (2019) Application of half-sweep sor iteration with nonlocal arithmetic discretization scheme for solving Burger's equation. ARPN Journal of Engineering and Applied Sciences, 14. pp. 616-621. ISSN 1819-6608 http://www.arpnjournals.org/jeas/research_papers/rp_2019/jeas_0219_7597.pdf
spellingShingle QA101-(145) Elementary mathematics. Arithmetic
N. F. A. Zainal
Sulaiman, Jumat
M. U. Alibubin
Application of half-sweep sor iteration with nonlocal arithmetic discretization scheme for solving Burger's equation
title Application of half-sweep sor iteration with nonlocal arithmetic discretization scheme for solving Burger's equation
title_full Application of half-sweep sor iteration with nonlocal arithmetic discretization scheme for solving Burger's equation
title_fullStr Application of half-sweep sor iteration with nonlocal arithmetic discretization scheme for solving Burger's equation
title_full_unstemmed Application of half-sweep sor iteration with nonlocal arithmetic discretization scheme for solving Burger's equation
title_short Application of half-sweep sor iteration with nonlocal arithmetic discretization scheme for solving Burger's equation
title_sort application of half sweep sor iteration with nonlocal arithmetic discretization scheme for solving burger s equation
topic QA101-(145) Elementary mathematics. Arithmetic
url https://eprints.ums.edu.my/id/eprint/29053/1/Application%20of%20half-sweep%20sor%20iteration%20with%20nonlocal%20arithmetic%20discretization%20scheme%20for%20solving%20Burger%27s%20equation%20ABSTRACT.pdf
https://eprints.ums.edu.my/id/eprint/29053/2/Application%20of%20half-sweep%20sor%20iteration%20with%20nonlocal%20arithmetic%20discretization%20scheme%20for%20solving%20Burger%27s%20equation%20FULL%20TEXT.pdf
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