Comparison between the Variational Iteration Method and the Homotopy Perturbation Method for the Sturm-Liouville Differential Equation
<p/> <p>We applied the variational iteration method and the homotopy perturbation method to solve Sturm-Liouville eigenvalue and boundary value problems. The main advantage of these methods is the flexibility to give approximate and exact solutions to both linear and nonlinear problems w...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2010-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://www.boundaryvalueproblems.com/content/2010/317369 |
| _version_ | 1818275965018570752 |
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| author | Darzi R Neamaty A |
| author_facet | Darzi R Neamaty A |
| author_sort | Darzi R |
| collection | DOAJ |
| description | <p/> <p>We applied the variational iteration method and the homotopy perturbation method to solve Sturm-Liouville eigenvalue and boundary value problems. The main advantage of these methods is the flexibility to give approximate and exact solutions to both linear and nonlinear problems without linearization or discretization. The results show that both methods are simple and effective.</p> |
| first_indexed | 2024-12-12T22:38:07Z |
| format | Article |
| id | doaj.art-cf8a80cff23a4750806eb7635780bb5e |
| institution | Directory Open Access Journal |
| issn | 1687-2762 1687-2770 |
| language | English |
| last_indexed | 2024-12-12T22:38:07Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-cf8a80cff23a4750806eb7635780bb5e2022-12-22T00:09:25ZengSpringerOpenBoundary Value Problems1687-27621687-27702010-01-0120101317369Comparison between the Variational Iteration Method and the Homotopy Perturbation Method for the Sturm-Liouville Differential EquationDarzi RNeamaty A<p/> <p>We applied the variational iteration method and the homotopy perturbation method to solve Sturm-Liouville eigenvalue and boundary value problems. The main advantage of these methods is the flexibility to give approximate and exact solutions to both linear and nonlinear problems without linearization or discretization. The results show that both methods are simple and effective.</p>http://www.boundaryvalueproblems.com/content/2010/317369 |
| spellingShingle | Darzi R Neamaty A Comparison between the Variational Iteration Method and the Homotopy Perturbation Method for the Sturm-Liouville Differential Equation Boundary Value Problems |
| title | Comparison between the Variational Iteration Method and the Homotopy Perturbation Method for the Sturm-Liouville Differential Equation |
| title_full | Comparison between the Variational Iteration Method and the Homotopy Perturbation Method for the Sturm-Liouville Differential Equation |
| title_fullStr | Comparison between the Variational Iteration Method and the Homotopy Perturbation Method for the Sturm-Liouville Differential Equation |
| title_full_unstemmed | Comparison between the Variational Iteration Method and the Homotopy Perturbation Method for the Sturm-Liouville Differential Equation |
| title_short | Comparison between the Variational Iteration Method and the Homotopy Perturbation Method for the Sturm-Liouville Differential Equation |
| title_sort | comparison between the variational iteration method and the homotopy perturbation method for the sturm liouville differential equation |
| url | http://www.boundaryvalueproblems.com/content/2010/317369 |
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