Solution of Modified Equations of Emden-type by Differential Transform Method: New Perspectives

In this paper the Modified Equations of Emden type (MEE), ̈ + ̇ + =0 is solved numerically by the differential transform method. This technique doesn’t require any discretization, linearization or small perturbations and therefore it reduces significantly the numerical computation. The current results of this paper are in excellent agreement with those provided by Chandrasekar et al. [1] and thereby illustrate the reliability and the performance of the differential transform method. We have also compared the results with the classical Runge-Kutta 4 (RK4) Method.

Author(s) Details

Dr. Supriya Mukherjee
Department of Mathematics, Gurudas College, 1/1 Suren Sarkar Road, Narkeldanga, Kolkata – 700054, West Bengal, India.

Dr. Banamali Roy
Department of Mathematics, Bangabasi Evening College, 19, Rajkumar Chakraborty Sarani, Kolkata – 700009, West Bengal, India.

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