Multivariate Padé Approximation for Solving Nonlinear Partial Differential Equations of Fractional Order
Two tecHniques were implemented, the Adomian decomposition method (ADM) and multivariate Padé approximation (MPA), for solving nonlinear partial differential equations of fractional order. The fractional derivatives are described in Caputo sense. First, the fractional differential equation has been...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/746401 |
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| author | Veyis Turut Nuran Güzel |
| author_facet | Veyis Turut Nuran Güzel |
| author_sort | Veyis Turut |
| collection | DOAJ |
| description | Two tecHniques were implemented, the Adomian decomposition method (ADM) and multivariate Padé approximation (MPA), for solving nonlinear partial differential equations of fractional order. The fractional derivatives are described in Caputo sense. First, the fractional differential equation has been solved and converted to power series by Adomian decomposition method (ADM), then power series solution of fractional differential equation was put into multivariate Padé series. Finally, numerical results were compared and presented in tables and figures. |
| format | Article |
| id | doaj-art-7ef891fb550243ad98c5fe8131ca4b4a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-7ef891fb550243ad98c5fe8131ca4b4a2025-02-03T06:14:13ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/746401746401Multivariate Padé Approximation for Solving Nonlinear Partial Differential Equations of Fractional OrderVeyis Turut0Nuran Güzel1Department of Mathematics, Faculty of Arts and Sciences, Batman University, Batman, TurkeyDepartment of Mathematics, Faculty of Arts and Sciences, Yıldız Technical University, İstanbul, TurkeyTwo tecHniques were implemented, the Adomian decomposition method (ADM) and multivariate Padé approximation (MPA), for solving nonlinear partial differential equations of fractional order. The fractional derivatives are described in Caputo sense. First, the fractional differential equation has been solved and converted to power series by Adomian decomposition method (ADM), then power series solution of fractional differential equation was put into multivariate Padé series. Finally, numerical results were compared and presented in tables and figures.http://dx.doi.org/10.1155/2013/746401 |
| spellingShingle | Veyis Turut Nuran Güzel Multivariate Padé Approximation for Solving Nonlinear Partial Differential Equations of Fractional Order Abstract and Applied Analysis |
| title | Multivariate Padé Approximation for Solving Nonlinear Partial Differential Equations of Fractional Order |
| title_full | Multivariate Padé Approximation for Solving Nonlinear Partial Differential Equations of Fractional Order |
| title_fullStr | Multivariate Padé Approximation for Solving Nonlinear Partial Differential Equations of Fractional Order |
| title_full_unstemmed | Multivariate Padé Approximation for Solving Nonlinear Partial Differential Equations of Fractional Order |
| title_short | Multivariate Padé Approximation for Solving Nonlinear Partial Differential Equations of Fractional Order |
| title_sort | multivariate pade approximation for solving nonlinear partial differential equations of fractional order |
| url | http://dx.doi.org/10.1155/2013/746401 |
| work_keys_str_mv | AT veyisturut multivariatepadeapproximationforsolvingnonlinearpartialdifferentialequationsoffractionalorder AT nuranguzel multivariatepadeapproximationforsolvingnonlinearpartialdifferentialequationsoffractionalorder |