Iterative Methods For Solving Nonlinear Lane-Emden Equations]{Iterative Methods For Solving Nonlinear Lane-Emden Equations

Authors : Faruk UÇAR, Volkan YAMAN, Bülent YILMAZ

Pages : 176-188

Doi:10.7240/marufbd.410960

View : 12 | Download : 6

Publication Date : 2018-06-30

Article Type : Research Paper

Abstract :In this paper we derive solutions for the nonlinear Lane-Emden type of equations with iterative methods, Daftardar-Jafari Method insert ignore into journalissuearticles values(DJM);, Adomian Decomposition Method insert ignore into journalissuearticles values(ADM); and Differential Transform Method insert ignore into journalissuearticles values(DTM);. The difficulty of Lane-Emden type of equations for implementing these iterative methods is due to the singularity at $x = 0$. We compare the efficiency of DJM - which is the authentic part of the paper - with ADM and DTM in solving the nonlinear, singular, initial value Lane-Emden type of equations.
Keywords : Lane Emden, Daftardar Jafari, Adomian Decomposition