- International Journal of Advances in Engineering and Pure Sciences
- Vol: 30 Issue: 2
- Iterative Methods For Solving Nonlinear Lane-Emden Equations]{Iterative Methods For Solving Nonlinea...
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 : 13 | Download : 9
Publication Date : 2018-06-30
Article Type : Research
Abstract :In this paper we derive solutions for the nonlinear Lane-Emden type of equations with iterative methods, Daftardar-Jafari Method (DJM), Adomian Decomposition Method (ADM) and Differential Transform Method (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