Cover Image

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

Saved in:
Bibliographic Details
Main Authors: Elfaghi, Abdulhafid M., Asrar, Waqar, Omar, Ashraf Ali
Format: Article
Language:English
English
Published: INSI Publications 2009
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/998/1/998_Comparison%20of%20high-order%20accurate%20schemes.pdf
http://irep.iium.edu.my/998/2/998_Comparison%20of%20high-order%20accurate%20schemes_SCOPUS.pdf
http://irep.iium.edu.my/998/
http://www.insipub.com/ajbas/2009/2536-2543.pdf
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.iium.irep.998
record_format dspace
spelling my.iium.irep.9982020-12-15T01:19:24Z 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 2009-07 Article PeerReviewed application/pdf en http://irep.iium.edu.my/998/1/998_Comparison%20of%20high-order%20accurate%20schemes.pdf application/pdf en http://irep.iium.edu.my/998/2/998_Comparison%20of%20high-order%20accurate%20schemes_SCOPUS.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
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
language English
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/998/1/998_Comparison%20of%20high-order%20accurate%20schemes.pdf
http://irep.iium.edu.my/998/2/998_Comparison%20of%20high-order%20accurate%20schemes_SCOPUS.pdf
http://irep.iium.edu.my/998/
http://www.insipub.com/ajbas/2009/2536-2543.pdf
_version_ 1687393055759400960
score 13.211869

Similar Items