Variational Homotopy Perturbation Method for Solving Fractional Initial Boundary Value Problems
A variational homotopy perturbation method (VHPM) which is based on variational iteration method and homotopy perturbation method is applied to solve the approximate solution of the fractional initial boundary value problems. The nonlinear terms can be easily handled by the use of He's polynomi...
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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/10.1155/2012/727031 |
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| _version_ | 1850235401176875008 |
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| author | Yanqin Liu |
| author_facet | Yanqin Liu |
| author_sort | Yanqin Liu |
| collection | DOAJ |
| description | A variational homotopy perturbation method (VHPM) which is based on
variational iteration method and homotopy perturbation method is applied to solve the approximate
solution of the fractional initial boundary value problems. The nonlinear terms can be easily handled
by the use of He's polynomials. It is observed that the variational iteration method is very efficient and
easier to implements; illustrative examples are included to demonstrate the high accuracy and fast
convergence of this new algorithm. |
| format | Article |
| id | doaj-art-186ff00a3f8a4170b158445b1871a448 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-186ff00a3f8a4170b158445b1871a4482025-08-20T02:02:16ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/727031727031Variational Homotopy Perturbation Method for Solving Fractional Initial Boundary Value ProblemsYanqin Liu0Department of Mathematics, Dezhou University, Dezhou 253023, ChinaA variational homotopy perturbation method (VHPM) which is based on variational iteration method and homotopy perturbation method is applied to solve the approximate solution of the fractional initial boundary value problems. The nonlinear terms can be easily handled by the use of He's polynomials. It is observed that the variational iteration method is very efficient and easier to implements; illustrative examples are included to demonstrate the high accuracy and fast convergence of this new algorithm.http://dx.doi.org/10.1155/2012/727031 |
| spellingShingle | Yanqin Liu Variational Homotopy Perturbation Method for Solving Fractional Initial Boundary Value Problems Abstract and Applied Analysis |
| title | Variational Homotopy Perturbation Method for Solving Fractional Initial Boundary Value Problems |
| title_full | Variational Homotopy Perturbation Method for Solving Fractional Initial Boundary Value Problems |
| title_fullStr | Variational Homotopy Perturbation Method for Solving Fractional Initial Boundary Value Problems |
| title_full_unstemmed | Variational Homotopy Perturbation Method for Solving Fractional Initial Boundary Value Problems |
| title_short | Variational Homotopy Perturbation Method for Solving Fractional Initial Boundary Value Problems |
| title_sort | variational homotopy perturbation method for solving fractional initial boundary value problems |
| url | http://dx.doi.org/10.1155/2012/727031 |
| work_keys_str_mv | AT yanqinliu variationalhomotopyperturbationmethodforsolvingfractionalinitialboundaryvalueproblems |