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

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.

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