An approximate analytical solution of the fractional multi-dimensional Burgers equation by the homotopy perturbation method
Abstract This article deals with the fractional multi-dimensional Burgers equation in the sense of the Caputo fractional derivative. An approximate analytical solution of the problem is established by the homotopy perturbation method (HPM). Furthermore, the convergence analysis and the error estimat...
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SpringerOpen
2019-06-01
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| Series: | Advances in Difference Equations |
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| Online Access: | http://link.springer.com/article/10.1186/s13662-019-2197-y |
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doaj-a2036e53b34d4e3a99b92625b3cc47182020-11-25T02:51:23ZengSpringerOpenAdvances in Difference Equations1687-18472019-06-012019111210.1186/s13662-019-2197-yAn approximate analytical solution of the fractional multi-dimensional Burgers equation by the homotopy perturbation methodPattira Sripacharasakullert0Wannika Sawangtong1Panumart Sawangtong2Department of Mathematics, Faculty of Science, Mahidol UniversityDepartment of Mathematics, Faculty of Science, Mahidol UniversityCentre of Excellence in Mathematics, Commission on Higher EducationAbstract This article deals with the fractional multi-dimensional Burgers equation in the sense of the Caputo fractional derivative. An approximate analytical solution of the problem is established by the homotopy perturbation method (HPM). Furthermore, the convergence analysis and the error estimation derived by the HPM are shown.http://link.springer.com/article/10.1186/s13662-019-2197-yBurgers equationHomotopy perturbation methodCaputo fractional derivative |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Pattira Sripacharasakullert Wannika Sawangtong Panumart Sawangtong |
| spellingShingle |
Pattira Sripacharasakullert Wannika Sawangtong Panumart Sawangtong An approximate analytical solution of the fractional multi-dimensional Burgers equation by the homotopy perturbation method Advances in Difference Equations Burgers equation Homotopy perturbation method Caputo fractional derivative |
| author_facet |
Pattira Sripacharasakullert Wannika Sawangtong Panumart Sawangtong |
| author_sort |
Pattira Sripacharasakullert |
| title |
An approximate analytical solution of the fractional multi-dimensional Burgers equation by the homotopy perturbation method |
| title_short |
An approximate analytical solution of the fractional multi-dimensional Burgers equation by the homotopy perturbation method |
| title_full |
An approximate analytical solution of the fractional multi-dimensional Burgers equation by the homotopy perturbation method |
| title_fullStr |
An approximate analytical solution of the fractional multi-dimensional Burgers equation by the homotopy perturbation method |
| title_full_unstemmed |
An approximate analytical solution of the fractional multi-dimensional Burgers equation by the homotopy perturbation method |
| title_sort |
approximate analytical solution of the fractional multi-dimensional burgers equation by the homotopy perturbation method |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1847 |
| publishDate |
2019-06-01 |
| description |
Abstract This article deals with the fractional multi-dimensional Burgers equation in the sense of the Caputo fractional derivative. An approximate analytical solution of the problem is established by the homotopy perturbation method (HPM). Furthermore, the convergence analysis and the error estimation derived by the HPM are shown. |
| topic |
Burgers equation Homotopy perturbation method Caputo fractional derivative |
| url |
http://link.springer.com/article/10.1186/s13662-019-2197-y |
| work_keys_str_mv |
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