Approximate Solutions of Fractional Nonlinear Equations Using Homotopy Perturbation Transformation Method
A homotopy perturbation transformation method (HPTM) which is based on homotopy perturbation method and Laplace transform is first applied to solve the approximate solution of the fractional nonlinear equations. The nonlinear terms can be easily handled by the use of He's polynomials. Illustrat...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/752869 |
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| _version_ | 1832554467563667456 |
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| author | Yanqin Liu |
| author_facet | Yanqin Liu |
| author_sort | Yanqin Liu |
| collection | DOAJ |
| description | A homotopy perturbation transformation method (HPTM) which is based on homotopy perturbation method and Laplace transform is first applied to solve the approximate solution of the fractional nonlinear equations. The nonlinear terms can be easily handled by the use of He's polynomials. Illustrative examples are included to demonstrate the high accuracy and fast
convergence of this new algorithm. |
| format | Article |
| id | doaj-art-f154d68e93bc4ec1b53e4e93e1c4df5b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f154d68e93bc4ec1b53e4e93e1c4df5b2025-02-03T05:51:26ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/752869752869Approximate Solutions of Fractional Nonlinear Equations Using Homotopy Perturbation Transformation MethodYanqin Liu0Department of Mathematics, Dezhou University, Dezhou 253023, ChinaA homotopy perturbation transformation method (HPTM) which is based on homotopy perturbation method and Laplace transform is first applied to solve the approximate solution of the fractional nonlinear equations. The nonlinear terms can be easily handled by the use of He's polynomials. Illustrative examples are included to demonstrate the high accuracy and fast convergence of this new algorithm.http://dx.doi.org/10.1155/2012/752869 |
| spellingShingle | Yanqin Liu Approximate Solutions of Fractional Nonlinear Equations Using Homotopy Perturbation Transformation Method Abstract and Applied Analysis |
| title | Approximate Solutions of Fractional Nonlinear Equations Using Homotopy Perturbation Transformation Method |
| title_full | Approximate Solutions of Fractional Nonlinear Equations Using Homotopy Perturbation Transformation Method |
| title_fullStr | Approximate Solutions of Fractional Nonlinear Equations Using Homotopy Perturbation Transformation Method |
| title_full_unstemmed | Approximate Solutions of Fractional Nonlinear Equations Using Homotopy Perturbation Transformation Method |
| title_short | Approximate Solutions of Fractional Nonlinear Equations Using Homotopy Perturbation Transformation Method |
| title_sort | approximate solutions of fractional nonlinear equations using homotopy perturbation transformation method |
| url | http://dx.doi.org/10.1155/2012/752869 |
| work_keys_str_mv | AT yanqinliu approximatesolutionsoffractionalnonlinearequationsusinghomotopyperturbationtransformationmethod |