Numerical Solution of Singular Ivps of Lane-Emden Type Using Integral Operator and Radial Basis Functions

A numerical method for solving the lane-emden equations as singular initial value problemsis presented. the method is based on using integral operator and convert lane-emdenequations to integral equations and interpolation by radial basis functions (rbfs). also,legendre-gauss quadrature integration method utilized to reduce the solution of integralequations to the solution of algebraic equations. several examples are given and numericalexamples are presented to demonstrate the validity and applicability of the method.