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Journal of Applied Mathematics
Volume 2012 (2012), Article ID 163821, 16 pages
A Coupled Method of Laplace Transform and Legendre Wavelets for Lane-Emden-Type Differential Equations
1College of Computer, National University of Defense Technology, Changsha 410073, China
2China Aerodynamics Research and Development Center, Sichuan, Mianyang 621000, China
Received 4 September 2012; Revised 11 October 2012; Accepted 15 October 2012
Academic Editor: Sazzad H. Chowdhury
Copyright © 2012 Fukang Yin et al. 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.
Citations to this Article [11 citations]
The following is the list of published articles that have cited the current article.
- G. Hariharan, and K. Kannan, “Review of wavelet methods for the solution of reaction–diffusion problems in science and engineering,” Applied Mathematical Modelling, 2013.
- Fukang Yin, Junqiang Song, and Fengshun Lu, “A coupled method of Laplace transform and Legendre wavelets for nonlinear Klein-Gordon equations,” Mathematical Methods in the Applied Sciences, 2013.
- M. Mahalakshmi, G. Hariharan, and K. Kannan, “The wavelet methods to linear and nonlinear reaction–diffusion model arising in mathematical chemistry,” Journal of Mathematical Chemistry, 2013.
- G. Hariharan, and R. Rajaraman, “Two reliable wavelet methods to Fitzhugh–Nagumo (FN) and fractional FN equations,” Journal of Mathematical Chemistry, 2013.
- E. H. Doha, A. H. Bhrawy, R. M. Hafez, and Robert A. Gorder, “A Jacobi rational pseudospectral method for Lane–Emden initial value problems arising in astrophysics on a semi-infinite interval,” Computational and Applied Mathematics, 2013.
- Fukang Yin, Junqiang Song, Xiaoqun Cao, and Fengshun Lu, “Couple of the Variational Iteration Method and Legendre Wavelets for Nonlinear Partial Differential Equations,” Journal of Applied Mathematics, vol. 2013, pp. 1–11, 2013.
- R. Rajaraman, and G. Hariharan, “An Efficient Wavelet-Based Approximation Method to Gene Propagation Model Arising in Population Biology,” The Journal of Membrane Biology, vol. 247, no. 7, pp. 561–570, 2014.
- G. Hariharan, “An Efficient Legendre Wavelet-Based Approximation Method for a Few Newell-Whitehead and Allen-Cahn Equations,” Journal of Membrane Biology, vol. 247, no. 5, pp. 371–380, 2014.
- B. A. Jacobs, and C. Harley, “Two Hybrid Methods for Solving Two-Dimensional Linear Time-Fractional Partial Differential Equations,” Abstract and Applied Analysis, vol. 2014, pp. 1–10, 2014.
- Fukang Yin, Junqiang Song, Hongze Leng, and Fengshun Lu, “Couple of the Variational Iteration Method and Fractional-Order Legendre Functions Method for Fractional Differential Equations,” The Scientific World Journal, vol. 2014, pp. 1–9, 2014.
- Byron A. Jacobs, “High-order compact finite difference and laplace transform method for the solution of time-fractional heat equations with dirchlet and neumann boundary conditions,” Numerical Methods for Partial Differential Equations, 2015.