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.
Asadpour, S., Yazdani Cherati, A., & Hosseinzadeh, H. (2019). Solving the general form of the Emden-Fowler equations with the Moving Least Squares method. Journal of Mathematical Modeling, 7(2), 231-250. doi: 10.22124/jmm.2019.12623.1238
MLA
Sasan Asadpour; AllahBakhsh Yazdani Cherati; Hassan Hosseinzadeh. "Solving the general form of the Emden-Fowler equations with the Moving Least Squares method". Journal of Mathematical Modeling, 7, 2, 2019, 231-250. doi: 10.22124/jmm.2019.12623.1238
HARVARD
Asadpour, S., Yazdani Cherati, A., Hosseinzadeh, H. (2019). 'Solving the general form of the Emden-Fowler equations with the Moving Least Squares method', Journal of Mathematical Modeling, 7(2), pp. 231-250. doi: 10.22124/jmm.2019.12623.1238
VANCOUVER
Asadpour, S., Yazdani Cherati, A., Hosseinzadeh, H. Solving the general form of the Emden-Fowler equations with the Moving Least Squares method. Journal of Mathematical Modeling, 2019; 7(2): 231-250. doi: 10.22124/jmm.2019.12623.1238
)