Solving the general form of the Emden-Fowler equations with the Moving Least Squares method

Document Type: Research Paper

Authors

Department of Mathematics, University of Mazandaran, Babolsar, Iran

10.22124/jmm.2019.12623.1238

Abstract

In the present paper, we have used moving least squares (MLS) method to solve the integral form of the Emden-Fowler equations with initial conditions. The Volterra integral form of the Emden-Fowler equations overcomes their singular behavior at $x=0$, and the MLS method leads to a satisfactory solution for the equation. The convergence of the method is investigated and finally its applicability is displayed through numerical examples.

Keywords