Homotopy Perturbation Method with an Auxiliary Term
The two most important steps in application of the homotopy perturbation method are to construct a suitable homotopy equation and to choose a suitable initial guess. The homotopy equation should be such constructed that when the homotopy parameter is zero, it can approximately describe the solution...
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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/10.1155/2012/857612 |
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| _version_ | 1832554320313188352 |
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| author | Ji-Huan He |
| author_facet | Ji-Huan He |
| author_sort | Ji-Huan He |
| collection | DOAJ |
| description | The two most important steps in application of the homotopy perturbation method are to construct a suitable homotopy equation and to choose a suitable initial guess. The homotopy equation should be such constructed that when the homotopy parameter is zero, it can approximately describe the solution property, and the initial solution can be chosen with an unknown parameter, which is determined after one or two iterations. This paper suggests an alternative approach to construction of the homotopy equation with an auxiliary term; Dufing equation is used as an example to illustrate the solution procedure. |
| format | Article |
| id | doaj-art-d67a923a50494a9f9cccb3a391608a23 |
| 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-d67a923a50494a9f9cccb3a391608a232025-02-03T05:51:48ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/857612857612Homotopy Perturbation Method with an Auxiliary TermJi-Huan He0National Engineering Laboratory for Modern Silk, College of Textile and Engineering, Soochow University, 199 Ren-ai Road, Suzhou 215123, ChinaThe two most important steps in application of the homotopy perturbation method are to construct a suitable homotopy equation and to choose a suitable initial guess. The homotopy equation should be such constructed that when the homotopy parameter is zero, it can approximately describe the solution property, and the initial solution can be chosen with an unknown parameter, which is determined after one or two iterations. This paper suggests an alternative approach to construction of the homotopy equation with an auxiliary term; Dufing equation is used as an example to illustrate the solution procedure.http://dx.doi.org/10.1155/2012/857612 |
| spellingShingle | Ji-Huan He Homotopy Perturbation Method with an Auxiliary Term Abstract and Applied Analysis |
| title | Homotopy Perturbation Method with an Auxiliary Term |
| title_full | Homotopy Perturbation Method with an Auxiliary Term |
| title_fullStr | Homotopy Perturbation Method with an Auxiliary Term |
| title_full_unstemmed | Homotopy Perturbation Method with an Auxiliary Term |
| title_short | Homotopy Perturbation Method with an Auxiliary Term |
| title_sort | homotopy perturbation method with an auxiliary term |
| url | http://dx.doi.org/10.1155/2012/857612 |
| work_keys_str_mv | AT jihuanhe homotopyperturbationmethodwithanauxiliaryterm |