A comparative study of numerical methods for solving the generalized Ito system
This paper is devoted to the numerical comparison of methods applied to solve the generalized Ito system. Four numerical methods are compared, namely, the Laplace decomposition method (LDM), the variation iteration method (VIM), the homotopy perturbation method (HPM) and the Laplace decomposition me...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2014-04-01
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| Series: | Journal of the Egyptian Mathematical Society |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X13000825 |
| _version_ | 1828762992868589568 |
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| author | M.A. Mohamed M.Sh. Torky |
| author_facet | M.A. Mohamed M.Sh. Torky |
| author_sort | M.A. Mohamed |
| collection | DOAJ |
| description | This paper is devoted to the numerical comparison of methods applied to solve the generalized Ito system. Four numerical methods are compared, namely, the Laplace decomposition method (LDM), the variation iteration method (VIM), the homotopy perturbation method (HPM) and the Laplace decomposition method with the Pade approximant (LD–PA) with the exact solution. |
| first_indexed | 2024-12-11T01:52:24Z |
| format | Article |
| id | doaj.art-5e0b47f26ac34cd1a59eaf8ce7f4f383 |
| institution | Directory Open Access Journal |
| issn | 1110-256X |
| language | English |
| last_indexed | 2024-12-11T01:52:24Z |
| publishDate | 2014-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of the Egyptian Mathematical Society |
| spelling | doaj.art-5e0b47f26ac34cd1a59eaf8ce7f4f3832022-12-22T01:24:42ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2014-04-0122110211410.1016/j.joems.2013.06.008A comparative study of numerical methods for solving the generalized Ito systemM.A. Mohamed0M.Sh. Torky1Faculty of Science, Suez Canal University Ismailia, EgyptThe High Institute of Administration and Computer, Port Said University, EgyptThis paper is devoted to the numerical comparison of methods applied to solve the generalized Ito system. Four numerical methods are compared, namely, the Laplace decomposition method (LDM), the variation iteration method (VIM), the homotopy perturbation method (HPM) and the Laplace decomposition method with the Pade approximant (LD–PA) with the exact solution.http://www.sciencedirect.com/science/article/pii/S1110256X13000825The variation iteration methodThe Laplace decomposition methodThe Pade approximationHomotopy perturbation methodThe generalized Ito system |
| spellingShingle | M.A. Mohamed M.Sh. Torky A comparative study of numerical methods for solving the generalized Ito system Journal of the Egyptian Mathematical Society The variation iteration method The Laplace decomposition method The Pade approximation Homotopy perturbation method The generalized Ito system |
| title | A comparative study of numerical methods for solving the generalized Ito system |
| title_full | A comparative study of numerical methods for solving the generalized Ito system |
| title_fullStr | A comparative study of numerical methods for solving the generalized Ito system |
| title_full_unstemmed | A comparative study of numerical methods for solving the generalized Ito system |
| title_short | A comparative study of numerical methods for solving the generalized Ito system |
| title_sort | comparative study of numerical methods for solving the generalized ito system |
| topic | The variation iteration method The Laplace decomposition method The Pade approximation Homotopy perturbation method The generalized Ito system |
| url | http://www.sciencedirect.com/science/article/pii/S1110256X13000825 |
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