New Galerkin operational matrix of derivatives for solving Lane-Emden singular-type equations

Approximate analytic solutions to the isothermal Lane–Emden equation

(2014) R. Iacono et al.   CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY

An approximation algorithm for the solution of the Lane–Emden type equations arising in astrophysics and engineering using Hermite polynomials

(2013) Yalçın Öztürk et al.   COMPUTATIONAL & APPLIED MATHEMATICS

Approximate polynomial solutions of the nonlinear Lane–Emden type equations arising in astrophysics using the squared remainder minimization method

(2013) Bogdan Căruntu et al.   COMPUTER PHYSICS COMMUNICATIONS

Haar wavelet approximate solutions for the generalized Lane–Emden equations arising in astrophysics

(2013) Harpreet Kaur et al.   COMPUTER PHYSICS COMMUNICATIONS

The variational iteration method for solving the Volterra integro-differential forms of the Lane–Emden equations of the first and the second kind

(2013) Abdul-Majid Wazwaz   JOURNAL OF MATHEMATICAL CHEMISTRY

Four techniques based on the B-spline expansion and the collocation approach for the numerical solution of the Lane-Emden equation

(2013) Mehrdad Lakestani et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

An operational matrix method for solving Lane-Emden equations arising in astrophysics

(2013) Yalçın Öztürk et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Numerical solution of fractional differential equations with a Tau method based on Legendre and Bernstein polynomials

(2013) J.A. Rad et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Second kind Chebyshev operational matrix algorithm for solving differential equations of Lane–Emden type

(2013) E.H. Doha et al.   NEW ASTRONOMY

Efficient spectral-Petrov-Galerkin methods for third- and fifth-order differential equations using general parameters generalized Jacobi polynomials

(2013) W.M. Abd-Elhameed et al.   Quaestiones Mathematicae

Wavelets collocation methods for the numerical solution of elliptic BV problems

(2012) Imran Aziz et al.   APPLIED MATHEMATICAL MODELLING

Solution of Lane–Emden type equations using Legendre operational matrix of differentiation

(2012) Rajesh K. Pandey et al.   APPLIED MATHEMATICS AND COMPUTATION

New algorithms for solving high even-order differential equations using third and fourth Chebyshev–Galerkin methods

(2012) E.H. Doha et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An improved Bessel collocation method with a residual error function to solve a class of Lane–Emden differential equations

(2012) Şuayip Yüzbaşı et al.   MATHEMATICAL AND COMPUTER MODELLING

Application of the BPES to Lane–Emden equations governing polytropic and isothermal gas spheres

(2012) K. Boubaker et al.   NEW ASTRONOMY

Numerical solution of singular IVPs of Lane–Emden type using a modified Legendre-spectral method

(2011) Ali Mohamadnejad Rismani et al.   APPLIED MATHEMATICAL MODELLING

Application of optimal homotopy asymptotic method for the analytic solution of singular Lane–Emden type equation

(2011) S. Iqbal et al.   APPLIED MATHEMATICS AND COMPUTATION

A Jacobi–Gauss collocation method for solving nonlinear Lane–Emden type equations

(2011) A.H. Bhrawy et al.   Communications in Nonlinear Science and Numerical Simulation

Solution of Lane–Emden type equations using Bernstein operational matrix of differentiation

(2011) Rajesh K. Pandey et al.   NEW ASTRONOMY

Analytical solutions to a quasilinear differential equation related to the Lane–Emden equation of the second kind

(2010) Robert A. Van Gorder   CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY

Sinc-Collocation method for solving astrophysics equations

(2010) K. Parand et al.   NEW ASTRONOMY

An elegant perturbation solution for the Lane–Emden equation of the second kind

(2010) Robert A. Van Gorder   NEW ASTRONOMY

Efficient spectral ultraspherical-dual-Petrov–Galerkin algorithms for the direct solution of (2n+1)th-order linear differential equations

(2009) E.H. Doha et al.   MATHEMATICS AND COMPUTERS IN SIMULATION

Analytic and numerical solutions to the Lane–Emden equation

(2008) Robert A. Van Gorder et al.   PHYSICS LETTERS A

Solutions of Emden–Fowler equations by homotopy-perturbation method

(2007) M.S.H. Chowdhury et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Series approach to the Lane–Emden equation and comparison with the homotopy perturbation method

(2006) J.I. Ramos   CHAOS SOLITONS & FRACTALS