Analytical solution of a class of Lane-Emden equations: Adomian decomposition method

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

Cites Work

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An analytic algorithm of Lane-Emden type equations arising in astrophysics using modified homotopy analysis method
Solutions of singular IVPs of Lane-Emden type by homotopy perturbation method
A convenient computational form for the Adomian polynomials
Legendre wavelets method for solving differential equations of Lane-Emden type
Series approach to the Lane-Emden equation and comparison with the homotopy perturbation method
Combinatorial interpretations of the Jacobi-Stirling numbers
On the numerical solution of differential equations of Lane-Emden type
A review of the decomposition method in applied mathematics
Power-series solutions of the Lane-Emden equation
A reliable modification of Adomian decomposition method
Solving frontier problems of physics: the decomposition method
Variational approach to the Lane--Emden equation
Sur la détermination d'un système orthogonal complet dans un espace de Riemann symétrique clos.
A new algorithm for calculating Adomian polynomials for nonlinear operators
On the convergence of Mickens' type nonstandard finite difference schemes on Lane-Emden type equations
An efficient method for solving coupled Lane-Emden boundary value problems in catalytic diffusion reactions and error estimate
The decomposition method for approximate solution of the Goursat problem
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Adomian's polynomials for nonlinear operators
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Maclaurin spectral results on rank one symmetric spaces of noncompact type
Taylor series solution for Lane-Emden equation
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Jacobi-Stirling numbers, Jacobi polynomials, and the left-definite analysis of the classical Jacobi differential expression
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A new mixed MADM-collocation approach for solving a class of Lane-Emden singular boundary value problems
Integral representations for Jacobi polynomials and some applications
On some types of topological groups
All solutions of the n = 5 Lane–Emden equation
Spherical Functions on a Semisimple Lie Group, I
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Lagrangian formulation of a generalized Lane-Emden equation and double reduction
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