doi: 10.7763/IJAPM.2013.V3.184
Modified Laplace Decomposition Method for Lane-Emden Type Differential Equations
Fu-Kang Yin
,
Wang-Yi Han
,
Jun-Qiang Song
- National University of Defense Technology, Changsha, P. R. China
Abstract
In this paper, A new scheme, deduced from the Modified Laplace decomposition method (MLDM), is presented to obtain exact solutions for the singular initial value problems (IVPs) of lane-Emden type. Both linear and nonlinear cases are considered. If the exact solution exists in the zeroth component, the proposed method yields exact solution in two iterations. The results show that MLDM is very effective and easy to implement.
Keywords
- Modified laplace decomposition method
- singular
- initial value problem
- lane-emden type equation
How to Cite
Fu-Kang Yin, Wang-Yi Han, and Jun-Qiang Song, "Modified Laplace Decomposition Method for Lane-Emden Type Differential Equations," International Journal of Applied Physics and Mathematics, vol. 3, no. 2, pp. 98-102, 2013. https://doi.org/ 10.7763/IJAPM.2013.V3.184
Copyright & License
Copyright © 2013 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).