A Coupled Method of Laplace Transform and Legendre Wavelets for Lane-Emden-Type Differential Equations
A coupled method of Laplace transform and Legendre wavelets is presented to obtain exact solutions of Lane-Emden-type equations. By employing properties of Laplace transform, a new operator is first introduced and then its Legendre wavelets operational matrix is derived to convert the Lane-Emden equ...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/163821 |
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| _version_ | 1850176224862666752 |
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| author | Fukang Yin Junqiang Song Fengshun Lu Hongze Leng |
| author_facet | Fukang Yin Junqiang Song Fengshun Lu Hongze Leng |
| author_sort | Fukang Yin |
| collection | DOAJ |
| description | A coupled method of Laplace transform and Legendre wavelets is presented to obtain exact solutions of Lane-Emden-type equations. By employing properties of Laplace transform, a new operator is first introduced and then its Legendre wavelets operational matrix is derived to convert the Lane-Emden equations into a system of algebraic equations. Block pulse functions are used to calculate the Legendre wavelets coefficient matrices of the nonlinear terms. The results show that the proposed method is very effective and easy to implement. |
| format | Article |
| id | doaj-art-b070ca974e7b4de5b0851156b81bfde2 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-b070ca974e7b4de5b0851156b81bfde22025-08-20T02:19:18ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/163821163821A Coupled Method of Laplace Transform and Legendre Wavelets for Lane-Emden-Type Differential EquationsFukang Yin0Junqiang Song1Fengshun Lu2Hongze Leng3College of Computer, National University of Defense Technology, Changsha 410073, ChinaCollege of Computer, National University of Defense Technology, Changsha 410073, ChinaChina Aerodynamics Research and Development Center, Sichuan, Mianyang 621000, ChinaCollege of Computer, National University of Defense Technology, Changsha 410073, ChinaA coupled method of Laplace transform and Legendre wavelets is presented to obtain exact solutions of Lane-Emden-type equations. By employing properties of Laplace transform, a new operator is first introduced and then its Legendre wavelets operational matrix is derived to convert the Lane-Emden equations into a system of algebraic equations. Block pulse functions are used to calculate the Legendre wavelets coefficient matrices of the nonlinear terms. The results show that the proposed method is very effective and easy to implement.http://dx.doi.org/10.1155/2012/163821 |
| spellingShingle | Fukang Yin Junqiang Song Fengshun Lu Hongze Leng A Coupled Method of Laplace Transform and Legendre Wavelets for Lane-Emden-Type Differential Equations Journal of Applied Mathematics |
| title | A Coupled Method of Laplace Transform and Legendre Wavelets for Lane-Emden-Type Differential Equations |
| title_full | A Coupled Method of Laplace Transform and Legendre Wavelets for Lane-Emden-Type Differential Equations |
| title_fullStr | A Coupled Method of Laplace Transform and Legendre Wavelets for Lane-Emden-Type Differential Equations |
| title_full_unstemmed | A Coupled Method of Laplace Transform and Legendre Wavelets for Lane-Emden-Type Differential Equations |
| title_short | A Coupled Method of Laplace Transform and Legendre Wavelets for Lane-Emden-Type Differential Equations |
| title_sort | coupled method of laplace transform and legendre wavelets for lane emden type differential equations |
| url | http://dx.doi.org/10.1155/2012/163821 |
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