In this paper, a collocation method based on Laguerre wavelets is proposed for the
numerical solutions of linear and nonlinear singular boundary value problems. Laguerre …

In this paper, we propose an Artificial Neural Network (ANN) method for solving some well-
known classes of Lane–Emden type equations which are the important nonlinear singular …

In the present study, stochastic numerical computing approach is developed by applying
artificial neural networks (ANNs) to compute the solution of Lane–Emden type boundary …

This article proposes an analytical solution for the Emden–Chandrasekhar equation (ECE)
that model polytropic stellar structure in astrophysics. The mathematical approach is based …

In this paper, we present a new second kind Chebyshev (S2KC) operational matrix of
derivatives. With the aid of S2KC, an algorithm is described to obtain numerical solutions of …

In this paper, we present a reliable algorithm to obtain the approximate solution of the
nonlinear Lane‐Emden type equations arising in astrophysics. The suggested algorithm is …

This study aims to use the Taylor wavelet method to solve linear and nonlinear Lane-Emden
equations. An advantage of the method is the orthonormality property of the polynomials …

Numerical solution for the system of Lane-Emden type equations using cubic B-spline
method arising in engineering Page 1 AIMS Mathematics, 8(6): 14747–14766. DOI: 10.3934/math.2023754 …

There are many algorithms based on orthogonal functions that can be applied to real-world
problems. For example, many of them can be reduced to approximate the solution of a …

In this article, we develop the local discontinuous Galerkin finite element method for the
numerical approximations of a class of singular second-order ordinary differential equations …