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

Yıl 2018, Cilt: 30 Sayı: 2, 176 - 188, 30.06.2018

Faruk Uçar , Volkan Yaman , Bülent Yılmaz

https://doi.org/10.7240/marufbd.410960

Öz

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.

Anahtar Kelimeler

Lane-Emden, Daftardar-Jafari, Adomian Decomposition

Kaynakça

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