MODIFIED DIFFERENTIAL TRANSFORM METHOD FOR SINGULAR LANE-EMDEN EQUATIONS IN INTEGER AND FRACTIONAL ORDER

Abstract

In the present work the modified differential transform method, incorporating the Adomian polynomials into the differential transform method(DTM), is used to solve the nonlinear and singular Lane-Emden equations in integer and fractional order. Numerical examples with different types are solved. The results show that this method is very effective and simple.