Numerical solution of general Emden–Fowler equation using Haar wavelet collocation method

Abstract

This paper deals with the numerical solution of the general Emden–Fowler equation using the Haar wavelet collocation method. This method transforms the differential equation into a system of nonlinear equations. These equations are further solved by Newton's method to obtain the Haar coefficients, and finally the solution to the problem is acquired using these coefficients. We have taken many examples of fifth- and sixth-order equations and implemented our method on those examples. The graphs show the efficiency of the solution for resolution L = 3 and the maximum absolute error of our approach. The error tables give a good picture of the accuracy of this approach.

Keywords:

• Emden–Fowler equation
• numerical method
• Haar wavelet collocation method

2020 Mathematics Subject Classifications:

• Primary 34A34
• 65L60
• 65T60

Disclosure statement

No potential conflict of interest was reported by the author(s).