This paper provides a technique to investigate the solutions of generalized nonlinear
singular Lane–Emden equations of first and second kinds by using a Haar wavelet quasi …

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 …

In this paper we discuss the integrability of the generalized Lane–Emden equations of the
first and second kinds. We carry out their Noether symmetry classification. Various cases for …

In this paper we consider a model describing the temperature profile in a longitudinal fin with
a rectangular profile attached to a stationary base surface. The heat transfer coefficient is …

An implicit series solution admitted by a boundary value problem modelled by a Lane–
Emden equation of the second kind is obtained. The boundary value problem was derived …

Numerical solutions to the Frank-Kamenetskii partial differential equation modelling a
thermal explosion in a cylindrical vessel are obtained using the hopscotch scheme. We …

Noether's theorem is used to determine first integrals admitted by a generalised Lane-
Emden equation of the second kind modelling a thermal explosion. These first integrals exist …

Contact and Lie point symmetries of a certain class of second order differential equations
using the Lie symmetry theory are obtained. Generators of these symmetries are used to …

An efficient method for determining an initial guess to an iterative solution to the boundary
value problem y//+(k/x) y/+ δey= 0 solved subject to y/(0)= 0 and y (1)= 0 is proposed. This …

We use the reproducing kernel method to solve the well‐known classes of Lane‐Emden‐
type equations. These classes of equations have the form of Lane‐Emden problem …