ANALYSIS OF LANE-EMDEN EQUATION BY USING NONSTANDARD FINITE DIFFERENCE METHODS |

We build two nonstandard finite difference schemes based on the eigenvalues at the fixed points in this paper: a nonstandard adomian decomposition method and a nonstandard Runge-Kutta fourth order approach. The Pade approximant is used to investigate the stability of the nonstandard Runge-Kutta fourth order technique. The solution's positivity is taken into account when developing a nonstandard adomian decomposition method for the Lane-Emden equation. These methods are compared to the traditional Runge-Kutta fourth order method in a graphical examination.

Please see the link :- https://www.ikprress.org/index.php/AJOMCOR/article/view/1058