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Approximate analytical solutions of KdV and burgers' equations via HAM and nHAM

This article presents a comparative study of the accuracy between homotopy analysis method (HAM) and a new technique of homotopy analysis method (nHAM) for the Korteweg-de Vries (KdV) and Burgers' equations. The resulted HAM and nHAM solutions at 8th-order and 6th-order approximations are then...

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Main Authors: Nazari, Mojtaba, Barati, Vahid, David, Vincent Daniel, Salah, Faisal, Abdul Aziz, Zainal
Format: Article
Language:English
Published: Penerbit UTM 2014
Subjects:
Q Science
Online Access:http://eprints.utm.my/id/eprint/51917/1/ZainalAbdulAziz2014_Approximateanalyticalsolutions.pdf
http://eprints.utm.my/id/eprint/51917/
http://dx.doi.org/10.11113/jt.v67.2008
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spelling my.utm.519172018-08-27T03:41:34Z http://eprints.utm.my/id/eprint/51917/ Approximate analytical solutions of KdV and burgers' equations via HAM and nHAM Nazari, Mojtaba Barati, Vahid David, Vincent Daniel Salah, Faisal Abdul Aziz, Zainal Q Science This article presents a comparative study of the accuracy between homotopy analysis method (HAM) and a new technique of homotopy analysis method (nHAM) for the Korteweg-de Vries (KdV) and Burgers' equations. The resulted HAM and nHAM solutions at 8th-order and 6th-order approximations are then compared with that of the exact soliton solutions of KdV and Burgers' equations, respectively. These results are shown to be in excellent agreement with the exact soliton solution. However, the result of HAM solution is ratified to be more accurate than the nHAM solution, which conforms to the existing finding Penerbit UTM 2014 Article PeerReviewed application/pdf en http://eprints.utm.my/id/eprint/51917/1/ZainalAbdulAziz2014_Approximateanalyticalsolutions.pdf Nazari, Mojtaba and Barati, Vahid and David, Vincent Daniel and Salah, Faisal and Abdul Aziz, Zainal (2014) Approximate analytical solutions of KdV and burgers' equations via HAM and nHAM. Jurnal Teknologi (Sciences and Engineering), 67 (1). pp. 69-75. ISSN 0127-9696 http://dx.doi.org/10.11113/jt.v67.2008 DOI: 10.11113/jt.v67.2008
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic Q Science
spellingShingle Q Science
Nazari, Mojtaba
Barati, Vahid
David, Vincent Daniel
Salah, Faisal
Abdul Aziz, Zainal
Approximate analytical solutions of KdV and burgers' equations via HAM and nHAM
description This article presents a comparative study of the accuracy between homotopy analysis method (HAM) and a new technique of homotopy analysis method (nHAM) for the Korteweg-de Vries (KdV) and Burgers' equations. The resulted HAM and nHAM solutions at 8th-order and 6th-order approximations are then compared with that of the exact soliton solutions of KdV and Burgers' equations, respectively. These results are shown to be in excellent agreement with the exact soliton solution. However, the result of HAM solution is ratified to be more accurate than the nHAM solution, which conforms to the existing finding
format Article
author Nazari, Mojtaba
Barati, Vahid
David, Vincent Daniel
Salah, Faisal
Abdul Aziz, Zainal
author_facet Nazari, Mojtaba
Barati, Vahid
David, Vincent Daniel
Salah, Faisal
Abdul Aziz, Zainal
author_sort Nazari, Mojtaba
title Approximate analytical solutions of KdV and burgers' equations via HAM and nHAM
title_short Approximate analytical solutions of KdV and burgers' equations via HAM and nHAM
title_full Approximate analytical solutions of KdV and burgers' equations via HAM and nHAM
title_fullStr Approximate analytical solutions of KdV and burgers' equations via HAM and nHAM
title_full_unstemmed Approximate analytical solutions of KdV and burgers' equations via HAM and nHAM
title_sort approximate analytical solutions of kdv and burgers' equations via ham and nham
publisher Penerbit UTM
publishDate 2014
url http://eprints.utm.my/id/eprint/51917/1/ZainalAbdulAziz2014_Approximateanalyticalsolutions.pdf
http://eprints.utm.my/id/eprint/51917/
http://dx.doi.org/10.11113/jt.v67.2008
_version_ 1643653099871535104
score 13.211869

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