Modified Differential Transform Method for Singular Lane-Emden Equations in Integer and Fractional Order

Modified Differential Transform Method for Singular Lane-Emden Equations in Integer and Fractional Order

H. R. Marasi, N. Sharifi, H. Piri

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Abstract

In the present work the modified differential transform method, incorporat¬ing 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.

 

Keywords

Differential transform method, Adomian polynomials, singular Lane-Emden equation.