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A Coupled Method of Laplace Transform and Legendre Wavelets for Lane-Emden-Type Differential Equations
Joint Authors
Yin, Fukang
Song, Junqiang
Leng, Hongze
Lu, Fengshun
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-19
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Yin, Fukang& Song, Junqiang& Lu, Fengshun& Leng, Hongze. 2012. A Coupled Method of Laplace Transform and Legendre Wavelets for Lane-Emden-Type Differential Equations. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-992995
Modern Language Association (MLA)
Yin, Fukang…[et al.]. A Coupled Method of Laplace Transform and Legendre Wavelets for Lane-Emden-Type Differential Equations. Journal of Applied Mathematics No. 2012 (2012), pp.1-16.
https://search.emarefa.net/detail/BIM-992995
American Medical Association (AMA)
Yin, Fukang& Song, Junqiang& Lu, Fengshun& Leng, Hongze. A Coupled Method of Laplace Transform and Legendre Wavelets for Lane-Emden-Type Differential Equations. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-992995
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-992995