A numerical method for solving singular fractional Lane-Emden type equations

In this paper, a hybrid numerical method combining Chebyshev wavelets and a finite difference approach is developed to obtain solutions of singular fractional Lane-Emden type equations. The properties of the Chebyshev wavelets and finite difference approaches are used to convert the problem under consideration into a system of algebraic equations which can be conveniently solved by suitable algorithms. A comparison of results obtained using the present strategy and those reported using other techniques seems to indicate the precision and computational effectiveness of the proposed hybrid method.