Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation

In this paper, a comparison between higher order schemes has been performed in terms of numerical accuracy. Four finite difference schemes, the explicit fourth-order compact Pade scheme, the implicit fourth-order Pade scheme, flowfield dependent variation (FDV) method and high order compact flowfie...

Full description

Bibliographic Details
Main Authors:	Elfaghi, Abdulhafid M., Asrar, Waqar, Omar, Ashraf Ali
Format:	Article
Language:	English
Published:	INSI Publications 2009
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/998/ http://irep.iium.edu.my/998/ http://irep.iium.edu.my/998/1/Comparison_of_High-order_Accurate_Schemes_for_Solving_the_Nonlinear_Viscous.pdf

id	iium-998
recordtype	eprints
spelling	iium-9982011-07-15T02:42:00Z http://irep.iium.edu.my/998/ Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation Elfaghi, Abdulhafid M. Asrar, Waqar Omar, Ashraf Ali QA Mathematics In this paper, a comparison between higher order schemes has been performed in terms of numerical accuracy. Four finite difference schemes, the explicit fourth-order compact Pade scheme, the implicit fourth-order Pade scheme, flowfield dependent variation (FDV) method and high order compact flowfie ld dependent variation (HOC-FDV) scheme are tes ted. The FDV scheme is used for time disc retization and the fourth-order compact Pade scheme is used for spatial derivatives. The solution procedures consist of a number of tri-diagonal matrix operations and produce an efficient solver. The comparisons are performed using one dimensional nonlinear viscous Burgers equation to demonstrate the accuracy and the convergence characteristics of the high-resolution schemes. The numerical results show that HOC-FDV is highly accurate in comparison with analytical and with other higher order schemes. INSI Publications 2009 Article PeerReviewed application/pdf en http://irep.iium.edu.my/998/1/Comparison_of_High-order_Accurate_Schemes_for_Solving_the_Nonlinear_Viscous.pdf Elfaghi, Abdulhafid M. and Asrar, Waqar and Omar, Ashraf Ali (2009) Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation. Australian Journal of Basic and Applied Sciences, 3 (3). pp. 2535-2543. ISSN 1991-8178 http://www.insipub.com/ajbas/2009/2536-2543.pdf
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Elfaghi, Abdulhafid M. Asrar, Waqar Omar, Ashraf Ali Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation
description	In this paper, a comparison between higher order schemes has been performed in terms of numerical accuracy. Four finite difference schemes, the explicit fourth-order compact Pade scheme, the implicit fourth-order Pade scheme, flowfield dependent variation (FDV) method and high order compact flowfie ld dependent variation (HOC-FDV) scheme are tes ted. The FDV scheme is used for time disc retization and the fourth-order compact Pade scheme is used for spatial derivatives. The solution procedures consist of a number of tri-diagonal matrix operations and produce an efficient solver. The comparisons are performed using one dimensional nonlinear viscous Burgers equation to demonstrate the accuracy and the convergence characteristics of the high-resolution schemes. The numerical results show that HOC-FDV is highly accurate in comparison with analytical and with other higher order schemes.
format	Article
author	Elfaghi, Abdulhafid M. Asrar, Waqar Omar, Ashraf Ali
author_facet	Elfaghi, Abdulhafid M. Asrar, Waqar Omar, Ashraf Ali
author_sort	Elfaghi, Abdulhafid M.
title	Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation
title_short	Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation
title_full	Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation
title_fullStr	Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation
title_full_unstemmed	Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation
title_sort	comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation
publisher	INSI Publications
publishDate	2009
url	http://irep.iium.edu.my/998/ http://irep.iium.edu.my/998/ http://irep.iium.edu.my/998/1/Comparison_of_High-order_Accurate_Schemes_for_Solving_the_Nonlinear_Viscous.pdf
first_indexed	2023-09-18T20:08:12Z
last_indexed	2023-09-18T20:08:12Z
_version_	1777407300586176512

Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation

Similar Items