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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2014
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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 |
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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 |
13.251813 |