Solution of Lane-Emden type equations by combination of the spectral method and Adomian decomposition method
type: Item
instance of: scholarly article
title: Solution of Lane-Emden type equations by combination of the spectral method and Adomian decomposition method
zbMATH Open document ID: 1394.34035
DOI: 10.1155/2015/534754
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: The application of a new modified Adomian decomposition method for obtaining the analytic solution of Lane-Emden type equations is investigated. The proposed method, called the spectral Adomian decomposition method, is based on a combination of spectral method and Adomian decomposition method. A comparative study between the proposed method and Adomian decomposition method is presented. The obtained result reveals that method is of higher efficiency, validity, and accuracy.
Mathematics Subject Classification ID: 34A45
zbMATH DE Number: 6926591
Wikidata QID: Q59118885
author: S. Gh. Hosseini
author: Saeid Abbasbandy
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/534754
OpenAlex ID: W2028789925
cites work: The variational iteration method for solving nonlinear singular boundary value problems arising in various physical models
cites work: A new algorithm for solving differential equations of Lane-Emden type
cites work: A new method for solving singular initial value problems in the second-order ordinary differential equations
cites work: Exact solutions of the generalized Lane-Emden equation
cites work: A new analytic algorithm of Lane--Emden type equations
cites work: Variational approach to the Lane--Emden equation
cites work: Legendre wavelets method for solving differential equations of Lane-Emden type
cites work: Solutions of singular IVPs of Lane-Emden type by homotopy perturbation method
cites work: Solutions of a class of singular second-order IVPs by homotopy-perturbation method
cites work: Series approach to the Lane-Emden equation and comparison with the homotopy perturbation method
cites work: An analytic algorithm of Lane-Emden type equations arising in astrophysics using modified homotopy analysis method
cites work: Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane-Emden type
cites work: Solutions of singular IVPs of Lane-Emden type by the variational iteration method
cites work: Application of optimal homotopy asymptotic method for the analytic solution of singular Lane-Emden type equation
cites work: A Jacobi-Gauss collocation method for solving nonlinear Lane-Emden type equations
cites work: New wavelets collocation method for solving second-order multipoint boundary value problems using Chebyshev polynomials of third and fourth kinds
cites work: A modified homotopy perturbation method coupled with the Fourier transform for nonlinear and singular Lane-Emden equations
cites work: Nonlinear equations with mixed derivatives
cites work: Q4220176
cites work: Convergence of the Adomian method applied to a class of nonlinear integral equations
cites work: Q4039908
description: scientific article; zbMATH DE number 6926591