Method for solving Lane-Emden type differential equations by Coupling of wavelets and Laplace transform -by Jai Prakesh Jaiswal and Kailash Yadav
Abstract: The objective of this paper is to obtain the numerical solution of Lane-Emden type equations by coupling method of Laplace transform and Chebyshev wavelets. By using the properties of Laplace transform and Chebyshev wavelets, an operational matrix is derived to convert the Lane-Emden equations into a system of algebraic equations. The idea of product of operational matrix is also used to solve a numerical problem. The numerical results show that the proposed method extracts more accurate values as compared to the existing one.
Keywords: Lane-Emden type equation, Legendre wavelet, Chebyshev wavelet, Laplace transform, absolute error.
How to cite this article:
J P Jaiswal and K Yadav, Method for solving Lane-Emden type differential equations by Coupling of wavelets and Laplace transform, International Journal of Advances in Mathematics, Volume 2019, Number 1, Pages 15-26, 2019,