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.
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.
Birincil Dil | İngilizce |
---|---|
Konular | Mühendislik |
Bölüm | Araştırma Makaleleri |
Yazarlar | |
Yayımlanma Tarihi | 30 Haziran 2018 |
Kabul Tarihi | 29 Haziran 2018 |
Yayımlandığı Sayı | Yıl 2018 Cilt: 30 Sayı: 2 |
Marmara Fen Bilimleri Dergisi
e-ISSN : 2146-5150
MU Fen Bilimleri Enstitüsü
Göztepe Yerleşkesi, 34722 Kadıköy, İstanbul
E-posta: fbedergi@marmara.edu.tr