Solution of Nonlinear Partial Differential Equations by New Laplace Variational Iteration Method
The aim of this study is to give a good strategy for solving some linear and nonlinear partial differential equations in engineering and physics fields, by combining Laplace transform and the modified variational iteration method. This method is based on the variational iteration method, Laplace tra...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/790714 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850210672184393728 |
|---|---|
| author | Eman M. A. Hilal Tarig M. Elzaki |
| author_facet | Eman M. A. Hilal Tarig M. Elzaki |
| author_sort | Eman M. A. Hilal |
| collection | DOAJ |
| description | The aim of this study is to give a good strategy for solving some linear and nonlinear partial differential equations in engineering and physics fields, by combining Laplace transform and the modified variational iteration method. This method is based on the variational iteration method, Laplace transforms, and convolution integral, introducing an alternative Laplace correction functional and expressing the integral as a convolution. Some examples in physical engineering are provided to illustrate the simplicity and reliability of this method. The solutions of these examples are contingent only on the initial conditions. |
| format | Article |
| id | doaj-art-90e87f133b724631ae45bd9c96ec6e92 |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-90e87f133b724631ae45bd9c96ec6e922025-08-20T02:09:44ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/790714790714Solution of Nonlinear Partial Differential Equations by New Laplace Variational Iteration MethodEman M. A. Hilal0Tarig M. Elzaki1Mathematics Department, Faculty of Sciences for Girls, King Abdulaziz University, Jeddah, Saudi ArabiaMathematics Department, Faculty of Sciences and Arts, King Abdulaziz University, P.O. Box 110, Alkamil 21931, Saudi ArabiaThe aim of this study is to give a good strategy for solving some linear and nonlinear partial differential equations in engineering and physics fields, by combining Laplace transform and the modified variational iteration method. This method is based on the variational iteration method, Laplace transforms, and convolution integral, introducing an alternative Laplace correction functional and expressing the integral as a convolution. Some examples in physical engineering are provided to illustrate the simplicity and reliability of this method. The solutions of these examples are contingent only on the initial conditions.http://dx.doi.org/10.1155/2014/790714 |
| spellingShingle | Eman M. A. Hilal Tarig M. Elzaki Solution of Nonlinear Partial Differential Equations by New Laplace Variational Iteration Method Journal of Function Spaces |
| title | Solution of Nonlinear Partial Differential Equations by New Laplace Variational Iteration Method |
| title_full | Solution of Nonlinear Partial Differential Equations by New Laplace Variational Iteration Method |
| title_fullStr | Solution of Nonlinear Partial Differential Equations by New Laplace Variational Iteration Method |
| title_full_unstemmed | Solution of Nonlinear Partial Differential Equations by New Laplace Variational Iteration Method |
| title_short | Solution of Nonlinear Partial Differential Equations by New Laplace Variational Iteration Method |
| title_sort | solution of nonlinear partial differential equations by new laplace variational iteration method |
| url | http://dx.doi.org/10.1155/2014/790714 |
| work_keys_str_mv | AT emanmahilal solutionofnonlinearpartialdifferentialequationsbynewlaplacevariationaliterationmethod AT tarigmelzaki solutionofnonlinearpartialdifferentialequationsbynewlaplacevariationaliterationmethod |