Comparison of Optimal Homotopy Asymptotic and Adomian Decomposition Methods for a Thin Film Flow of a Third Grade Fluid on a Moving Belt
We have investigated a thin film flow of a third grade fluid on a moving belt using a powerful and relatively new approximate analytical technique known as optimal homotopy asymptotic method (OHAM). The variation of velocity profile for different parameters is compared with the numerical values obta...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/642835 |
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| _version_ | 1832561222481870848 |
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| author | Fazle Mabood Nopparat Pochai |
| author_facet | Fazle Mabood Nopparat Pochai |
| author_sort | Fazle Mabood |
| collection | DOAJ |
| description | We have investigated a thin film flow of a third grade fluid on a moving belt using a powerful and relatively new approximate analytical technique known as optimal homotopy asymptotic method (OHAM). The variation of velocity profile for different parameters is compared with the numerical values obtained by Runge-Kutta Fehlberg fourth-fifth order method and with Adomian Decomposition Method (ADM). An interesting result of the analysis is that the three terms OHAM solution is more accurate than five terms of the ADM solution and this thus confirms the feasibility of the proposed method. |
| format | Article |
| id | doaj-art-6d940e626f8643b19fcfdb4484f4bdb5 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-6d940e626f8643b19fcfdb4484f4bdb52025-02-03T01:25:41ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/642835642835Comparison of Optimal Homotopy Asymptotic and Adomian Decomposition Methods for a Thin Film Flow of a Third Grade Fluid on a Moving BeltFazle Mabood0Nopparat Pochai1Department of Mathematics, University of Peshawar, Peshawar, PakistanDepartment of Mathematics, King Mongkut’s Institute of Technology Ladkrabang, Bangkok 10520, ThailandWe have investigated a thin film flow of a third grade fluid on a moving belt using a powerful and relatively new approximate analytical technique known as optimal homotopy asymptotic method (OHAM). The variation of velocity profile for different parameters is compared with the numerical values obtained by Runge-Kutta Fehlberg fourth-fifth order method and with Adomian Decomposition Method (ADM). An interesting result of the analysis is that the three terms OHAM solution is more accurate than five terms of the ADM solution and this thus confirms the feasibility of the proposed method.http://dx.doi.org/10.1155/2015/642835 |
| spellingShingle | Fazle Mabood Nopparat Pochai Comparison of Optimal Homotopy Asymptotic and Adomian Decomposition Methods for a Thin Film Flow of a Third Grade Fluid on a Moving Belt Advances in Mathematical Physics |
| title | Comparison of Optimal Homotopy Asymptotic and Adomian Decomposition Methods for a Thin Film Flow of a Third Grade Fluid on a Moving Belt |
| title_full | Comparison of Optimal Homotopy Asymptotic and Adomian Decomposition Methods for a Thin Film Flow of a Third Grade Fluid on a Moving Belt |
| title_fullStr | Comparison of Optimal Homotopy Asymptotic and Adomian Decomposition Methods for a Thin Film Flow of a Third Grade Fluid on a Moving Belt |
| title_full_unstemmed | Comparison of Optimal Homotopy Asymptotic and Adomian Decomposition Methods for a Thin Film Flow of a Third Grade Fluid on a Moving Belt |
| title_short | Comparison of Optimal Homotopy Asymptotic and Adomian Decomposition Methods for a Thin Film Flow of a Third Grade Fluid on a Moving Belt |
| title_sort | comparison of optimal homotopy asymptotic and adomian decomposition methods for a thin film flow of a third grade fluid on a moving belt |
| url | http://dx.doi.org/10.1155/2015/642835 |
| work_keys_str_mv | AT fazlemabood comparisonofoptimalhomotopyasymptoticandadomiandecompositionmethodsforathinfilmflowofathirdgradefluidonamovingbelt AT nopparatpochai comparisonofoptimalhomotopyasymptoticandadomiandecompositionmethodsforathinfilmflowofathirdgradefluidonamovingbelt |