Journal of Applied Mathematics
- J. Appl. Math.
- Volume 2012 (2012), Article ID 163821, 16 pages.
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 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.
J. Appl. Math., Volume 2012 (2012), Article ID 163821, 16 pages.
First available in Project Euclid: 2 January 2013
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Yin, Fukang; Song, Junqiang; Lu, Fengshun; Leng, Hongze. A Coupled Method of Laplace Transform and Legendre Wavelets for Lane-Emden-Type Differential Equations. J. Appl. Math. 2012 (2012), Article ID 163821, 16 pages. doi:10.1155/2012/163821. https://projecteuclid.org/euclid.jam/1357153587