MODIFIED DIFFERENTIAL TRANSFORM METHOD FOR SINGULAR LANE-EMDEN EQUATIONS IN INTEGER AND FRACTIONAL ORDER, By Hossein Piri

Research

Title	MODIFIED DIFFERENTIAL TRANSFORM METHOD FOR SINGULAR LANE-EMDEN EQUATIONS IN INTEGER AND FRACTIONAL ORDER
Type	Article
Keywords	Differential transform method, Adomian polynomials, singular Lane-Emden equation.
Researchers	Hamid Reza Marasi، Negar Sharifi، Hossein Piri

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.