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

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=۰, 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.

کلیدواژه ها:

Emden-Fowler equations ، Volterra integral equation ، moving least squares method