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 …

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 …

A numerical scheme based on polynomials and finite difference method is developed for
numerical solutions of two-dimensional linear and nonlinear Sobolev equations. In this …

In this paper, a new method based on hybridization of Lucas and Fibonacci polynomials is
developed for approximate solutions of 1D and 2D nonlinear generalized Benjamin–Bona …

Four numerical techniques based on the linear B‐spline functions are presented for the
numerical solution of the Lane–Emden equation. Some properties of the B‐spline functions …

The purpose of this paper is to present two efficient computational schemes for solving Lane–
Emden type equations based on an artificial neural network. The mentioned neural network …

The key purpose of this article is to introduce an efficient computational method for the
approximate solution of the homogeneous as well as non-homogeneous nonlinear Lane …

In this paper, a numerical method based on the hybrid of the quasilinearization method
(QLM) and the collocation method is suggested for solving wellknown nonlinear Lane …

In this paper we use a recently introduced approximation method to compute analytical
approximate polynomial solutions for some well-known classes of Lane–Emden type …

The basis scope of this paper is to introduce a set of orthonormal basis functions and to
present a new algorithm for solving the boundary value problem by defining the ε …