In this paper we propose a method for solving some well-known classes of Lane-Emden type equations which are nonlinear ordinary differential equations on the semi-infinite domain. The proposed approach is based on an Unsupervised Combined Artificial Neural Networks (UCANN) method. Firstly, The trial solutions of the differential equations are written in the form of feed-forward neural networks ...

the objective of this paper is applying the well-known exact operational matrices (eoms) idea for solving the emden-fowler equations, illustrating the superiority of eoms over ordinary operational matrices (ooms). up to now, a few studies have been conducted on eoms ; but the solved differential equations did not have high-degree nonlinearity and the reported results could not strongly show the...

In this paper, Singular initial value problems are investigated by using Taylor series method. The solutions are constructed in the form of a convergent series. The method is applied to Emden-Fowler and Lane-Emden equations.

A numerical method based on Legendre multi-wavelets is applied for solving Lane-Emden equations which form Volterra integro-differential equations. The Lane-Emden equations are converted to Volterra integro-differential equations and then are solved by the Legendre multi-wavelet method. The properties of Legendre multi-wavelets are first presented. The properties of Legendre multi-wavelets are ...

In this article, we tried to get the solution of a class Lane Emden type equations by using Fourier Decomposition Method. This method is obtained transform and Adomian (FADM) together.