A Numerical Method for Lane-Emden Equations Using Hybrid Functions and the Collocation Method

Abstract EN

A numerical method to solve Lane-Emden equations as singular initial value problems is presented in this work.

This method is based on the replacement of unknown functions through a truncated series of hybrid of block-pulse functions and Chebyshev polynomials.

The collocation method transforms the differential equation into a system of algebraic equations.

It also has application in a wide area of differential equations.

Corresponding numerical examples are presented to demonstrate the accuracy of the proposed method.