Combining Laplace transform and Variational iteration method for solving singular IVPs and BVPs of Lane–Emden type equation
This study uses the combined Laplace transform and variational iteration method to analytically solve initial value problems (IVPs) and boundary value problems (BVPs) of Lane- Emden- equation with singular behaviour at . Initially, this method requires calculating the lagrange multiplayer, and afte...
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| Format: | Article |
| Language: | English |
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College of Computer and Information Technology – University of Wasit, Iraq
2024-06-01
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| Series: | Wasit Journal of Computer and Mathematics Science |
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| Online Access: | http://wjcm.uowasit.edu.iq/index.php/wjcm/article/view/244 |
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| _version_ | 1832582068520878080 |
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| author | Mohamed H. Jassim Waleed Mohammed Al-Hayani |
| author_facet | Mohamed H. Jassim Waleed Mohammed Al-Hayani |
| author_sort | Mohamed H. Jassim |
| collection | DOAJ |
| description |
This study uses the combined Laplace transform and variational iteration method to analytically solve initial value problems (IVPs) and boundary value problems (BVPs) of Lane- Emden- equation with singular behaviour at . Initially, this method requires calculating the lagrange multiplayer, and after its value was calculated, it was found to be equal , this method is applying on several problems and the results were improved using Padé approximations, the results were compared with the exact solution by calculating the absolute error value between them.
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| format | Article |
| id | doaj-art-fb063717c79849d38cb10af5acf35560 |
| institution | Kabale University |
| issn | 2788-5879 2788-5887 |
| language | English |
| publishDate | 2024-06-01 |
| publisher | College of Computer and Information Technology – University of Wasit, Iraq |
| record_format | Article |
| series | Wasit Journal of Computer and Mathematics Science |
| spelling | doaj-art-fb063717c79849d38cb10af5acf355602025-01-30T05:23:50ZengCollege of Computer and Information Technology – University of Wasit, IraqWasit Journal of Computer and Mathematics Science2788-58792788-58872024-06-013210.31185/wjcms.244Combining Laplace transform and Variational iteration method for solving singular IVPs and BVPs of Lane–Emden type equationMohamed H. Jassim0Waleed Mohammed Al-Hayani1Department of Mathematics, College of Computer Science and Mathematics, University of Mosul, IraqDepartment of Mathematics, College of Computer Science and Mathematics, University of Mosul, Iraq, Mosul, Iraq This study uses the combined Laplace transform and variational iteration method to analytically solve initial value problems (IVPs) and boundary value problems (BVPs) of Lane- Emden- equation with singular behaviour at . Initially, this method requires calculating the lagrange multiplayer, and after its value was calculated, it was found to be equal , this method is applying on several problems and the results were improved using Padé approximations, the results were compared with the exact solution by calculating the absolute error value between them. http://wjcm.uowasit.edu.iq/index.php/wjcm/article/view/244Lane-Emden equationLaplace Transform methodVariational iteration method |
| spellingShingle | Mohamed H. Jassim Waleed Mohammed Al-Hayani Combining Laplace transform and Variational iteration method for solving singular IVPs and BVPs of Lane–Emden type equation Wasit Journal of Computer and Mathematics Science Lane-Emden equation Laplace Transform method Variational iteration method |
| title | Combining Laplace transform and Variational iteration method for solving singular IVPs and BVPs of Lane–Emden type equation |
| title_full | Combining Laplace transform and Variational iteration method for solving singular IVPs and BVPs of Lane–Emden type equation |
| title_fullStr | Combining Laplace transform and Variational iteration method for solving singular IVPs and BVPs of Lane–Emden type equation |
| title_full_unstemmed | Combining Laplace transform and Variational iteration method for solving singular IVPs and BVPs of Lane–Emden type equation |
| title_short | Combining Laplace transform and Variational iteration method for solving singular IVPs and BVPs of Lane–Emden type equation |
| title_sort | combining laplace transform and variational iteration method for solving singular ivps and bvps of lane emden type equation |
| topic | Lane-Emden equation Laplace Transform method Variational iteration method |
| url | http://wjcm.uowasit.edu.iq/index.php/wjcm/article/view/244 |
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