A General Iteration Formula of VIM for Fractional Heat- and Wave-Like Equations
A general iteration formula of variational iteration method (VIM) for fractional heat- and wave-like equations with variable coefficients is derived. Compared with previous work, the Lagrange multiplier of the method is identified in a more accurate way by employing Laplace’s transform of fractional...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/428079 |
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| _version_ | 1850169385070624768 |
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| author | Fukang Yin Junqiang Song Xiaoqun Cao |
| author_facet | Fukang Yin Junqiang Song Xiaoqun Cao |
| author_sort | Fukang Yin |
| collection | DOAJ |
| description | A general iteration formula of variational iteration method (VIM) for fractional heat- and wave-like equations with variable coefficients is derived. Compared with previous work, the Lagrange multiplier of the method is identified in a more accurate way by employing Laplace’s transform of fractional order. The fractional derivative is considered in Jumarie’s sense. The results are more accurate than those obtained by classical VIM and the same as ADM. It is shown that the proposed iteration formula is efficient and simple. |
| format | Article |
| id | doaj-art-a8c7e1c65d374dc59d985d02c22d3ac5 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-a8c7e1c65d374dc59d985d02c22d3ac52025-08-20T02:20:44ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/428079428079A General Iteration Formula of VIM for Fractional Heat- and Wave-Like EquationsFukang Yin0Junqiang Song1Xiaoqun Cao2Department of Software, College of Computer, National University of Defense Technology, Changsha, Hunan 410073, ChinaDepartment of Software, College of Computer, National University of Defense Technology, Changsha, Hunan 410073, ChinaDepartment of Software, College of Computer, National University of Defense Technology, Changsha, Hunan 410073, ChinaA general iteration formula of variational iteration method (VIM) for fractional heat- and wave-like equations with variable coefficients is derived. Compared with previous work, the Lagrange multiplier of the method is identified in a more accurate way by employing Laplace’s transform of fractional order. The fractional derivative is considered in Jumarie’s sense. The results are more accurate than those obtained by classical VIM and the same as ADM. It is shown that the proposed iteration formula is efficient and simple.http://dx.doi.org/10.1155/2013/428079 |
| spellingShingle | Fukang Yin Junqiang Song Xiaoqun Cao A General Iteration Formula of VIM for Fractional Heat- and Wave-Like Equations Journal of Applied Mathematics |
| title | A General Iteration Formula of VIM for Fractional Heat- and Wave-Like Equations |
| title_full | A General Iteration Formula of VIM for Fractional Heat- and Wave-Like Equations |
| title_fullStr | A General Iteration Formula of VIM for Fractional Heat- and Wave-Like Equations |
| title_full_unstemmed | A General Iteration Formula of VIM for Fractional Heat- and Wave-Like Equations |
| title_short | A General Iteration Formula of VIM for Fractional Heat- and Wave-Like Equations |
| title_sort | general iteration formula of vim for fractional heat and wave like equations |
| url | http://dx.doi.org/10.1155/2013/428079 |
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