A Representation of the Exact Solution of Generalized Lane-Emden Equations Using a New Analytical Method
A new analytic method is applied to singular initial-value Lane-Emden-type problems, and the effectiveness and performance of the method is studied. The proposed method obtains a Taylor expansion of the solution, and when the solution is polynomial, our method reproduces the exact solution. It is ob...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/378593 |
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| _version_ | 1832551352584110080 |
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| author | Omar Abu Arqub Ahmad El-Ajou A. Sami Bataineh I. Hashim |
| author_facet | Omar Abu Arqub Ahmad El-Ajou A. Sami Bataineh I. Hashim |
| author_sort | Omar Abu Arqub |
| collection | DOAJ |
| description | A new analytic method is applied to singular initial-value Lane-Emden-type problems, and the effectiveness and performance of the method is studied. The proposed method obtains a Taylor expansion of the solution, and when the solution is polynomial, our method reproduces the exact solution. It is observed that the method is easy to implement, valuable for handling singular phenomena, yields excellent results at a minimum computational cost, and requires less time. Computational results of several test problems are presented to demonstrate the viability and practical usefulness of the method. The results reveal that the method is very effective, straightforward, and simple. |
| format | Article |
| id | doaj-art-663b9268645e452e8043703757a53599 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-663b9268645e452e8043703757a535992025-02-03T06:01:39ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/378593378593A Representation of the Exact Solution of Generalized Lane-Emden Equations Using a New Analytical MethodOmar Abu Arqub0Ahmad El-Ajou1A. Sami Bataineh2I. Hashim3Department of Mathematics, Faculty of Science, Al Balqa Applied University, Salt 19117, JordanDepartment of Mathematics, Faculty of Science, Al Balqa Applied University, Salt 19117, JordanDepartment of Mathematics, Faculty of Science, Al Balqa Applied University, Salt 19117, JordanSchool of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, MalaysiaA new analytic method is applied to singular initial-value Lane-Emden-type problems, and the effectiveness and performance of the method is studied. The proposed method obtains a Taylor expansion of the solution, and when the solution is polynomial, our method reproduces the exact solution. It is observed that the method is easy to implement, valuable for handling singular phenomena, yields excellent results at a minimum computational cost, and requires less time. Computational results of several test problems are presented to demonstrate the viability and practical usefulness of the method. The results reveal that the method is very effective, straightforward, and simple.http://dx.doi.org/10.1155/2013/378593 |
| spellingShingle | Omar Abu Arqub Ahmad El-Ajou A. Sami Bataineh I. Hashim A Representation of the Exact Solution of Generalized Lane-Emden Equations Using a New Analytical Method Abstract and Applied Analysis |
| title | A Representation of the Exact Solution of Generalized Lane-Emden Equations Using a New Analytical Method |
| title_full | A Representation of the Exact Solution of Generalized Lane-Emden Equations Using a New Analytical Method |
| title_fullStr | A Representation of the Exact Solution of Generalized Lane-Emden Equations Using a New Analytical Method |
| title_full_unstemmed | A Representation of the Exact Solution of Generalized Lane-Emden Equations Using a New Analytical Method |
| title_short | A Representation of the Exact Solution of Generalized Lane-Emden Equations Using a New Analytical Method |
| title_sort | representation of the exact solution of generalized lane emden equations using a new analytical method |
| url | http://dx.doi.org/10.1155/2013/378593 |
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