Journal of Applied Mathematics

A Coupled Method of Laplace Transform and Legendre Wavelets for Lane-Emden-Type Differential Equations

Fukang Yin, Junqiang Song, Fengshun Lu, and Hongze Leng

Full-text: Open access

Abstract

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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 163821, 16 pages.

Dates
First available in Project Euclid: 2 January 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1357153587

Digital Object Identifier
doi:10.1155/2012/163821

Mathematical Reviews number (MathSciNet)
MR2997266

Zentralblatt MATH identifier
1264.65227

Citation

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


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