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

Faruk UÇAR; Volkan YAMAN; Bülent YILMAZ

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

Makale detayları

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

Yazarlar:

Faruk UÇAR | Volkan YAMAN | Bülent YILMAZ

Yayıncı:

Marmara University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Marmara Journal of Pure and Applied Sciences 2018 Vol.30 Issue 2, pp.176-188

Belge Tipi:

Makale

Yayın Tarihi:

6/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000474468

Sıklık:

Üç Aylık

eISSN:

2636-8277

DOI:

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

Özet:

 


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=0x=0x = 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.

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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=0x=0x = 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.

.

Makale detayları

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

Yazarlar: Faruk UÇAR | Volkan YAMAN | Bülent YILMAZ

Yayıncı: Marmara University

Ana Başlıklar: Uygulamalı fizik

Dergi: Marmara Journal of Pure and Applied Sciences 2018 Vol.30 Issue 2, pp.176-188

Belge Tipi: Makale

Yayın Tarihi: 6/2018

Belge Dili: İngilizce

Document ID (Org No.): 2000474468

Sıklık: Üç Aylık

eISSN: 2636-8277

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

Sayı

Yazarlar:

Faruk UÇAR | Volkan YAMAN | Bülent YILMAZ

Yayıncı:

Marmara University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Marmara Journal of Pure and Applied Sciences 2018 Vol.30 Issue 2, pp.176-188

Belge Tipi:

Makale

Yayın Tarihi:

6/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000474468

Sıklık:

Üç Aylık

eISSN:

2636-8277

DOI:

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