A Numerical Method for Lane-Emden Equations Using Hybrid Functions and the Collocation Method
A numerical method to solve Lane-Emden equations as singular initial value problems is presented in this work. This method is based on the replacement of unknown functions through a truncated series of hybrid of block-pulse functions and Chebyshev polynomials. The collocation method transforms the d...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/316534 |
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| _version_ | 1832560715910610944 |
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| author | Changqing Yang Jianhua Hou |
| author_facet | Changqing Yang Jianhua Hou |
| author_sort | Changqing Yang |
| collection | DOAJ |
| description | A numerical method to solve Lane-Emden equations as singular initial value problems is presented in this work. This method is based on the replacement of unknown functions through a truncated series of hybrid of block-pulse functions and Chebyshev polynomials. The collocation method transforms the differential equation into a system of algebraic equations. It also has application in a wide area of differential equations. Corresponding numerical examples are presented to demonstrate the accuracy of the proposed method. |
| format | Article |
| id | doaj-art-15fb964c794a484c9b5322103e9707fc |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-15fb964c794a484c9b5322103e9707fc2025-02-03T01:26:49ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/316534316534A Numerical Method for Lane-Emden Equations Using Hybrid Functions and the Collocation MethodChangqing Yang0Jianhua Hou1Department of Science, Huaihai Institute of Technology, Jiangsu Lianyungang, 222005, ChinaDepartment of Science, Huaihai Institute of Technology, Jiangsu Lianyungang, 222005, ChinaA numerical method to solve Lane-Emden equations as singular initial value problems is presented in this work. This method is based on the replacement of unknown functions through a truncated series of hybrid of block-pulse functions and Chebyshev polynomials. The collocation method transforms the differential equation into a system of algebraic equations. It also has application in a wide area of differential equations. Corresponding numerical examples are presented to demonstrate the accuracy of the proposed method.http://dx.doi.org/10.1155/2012/316534 |
| spellingShingle | Changqing Yang Jianhua Hou A Numerical Method for Lane-Emden Equations Using Hybrid Functions and the Collocation Method Journal of Applied Mathematics |
| title | A Numerical Method for Lane-Emden Equations Using Hybrid Functions and the Collocation Method |
| title_full | A Numerical Method for Lane-Emden Equations Using Hybrid Functions and the Collocation Method |
| title_fullStr | A Numerical Method for Lane-Emden Equations Using Hybrid Functions and the Collocation Method |
| title_full_unstemmed | A Numerical Method for Lane-Emden Equations Using Hybrid Functions and the Collocation Method |
| title_short | A Numerical Method for Lane-Emden Equations Using Hybrid Functions and the Collocation Method |
| title_sort | numerical method for lane emden equations using hybrid functions and the collocation method |
| url | http://dx.doi.org/10.1155/2012/316534 |
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