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

A new algorithm for solving differential equations

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The general Jacobi matrix method for solving some nonlinear ordinary differential equations

(2011) M.R. Eslahchi et al.   APPLIED MATHEMATICAL MODELLING

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

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

The use of Sinc-collocation method for solving multi-point boundary value problems

(2011) Abbas Saadatmandi et al.   Communications in Nonlinear Science and Numerical Simulation

A semi‐numerical technique for solving the multi‐point boundary value problems and engineering applications

(2011) Mehdi Dehghan et al.   INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW

Lagrangian method for solving Lane–Emden type equation arising in astrophysics on semi-infinite domains

(2010) K. Parand et al.   ACTA ASTRONAUTICA

An approximation algorithm for the solution of the nonlinear Lane–Emden type equations arising in astrophysics using Hermite functions collocation method

(2010) K. Parand et al.   COMPUTER PHYSICS COMMUNICATIONS

Solution of a nonlinear time-delay model in biology via semi-analytical approaches

(2010) Mehdi Dehghan et al.   COMPUTER PHYSICS COMMUNICATIONS

On using a modified Legendre-spectral method for solving singular IVPs of Lane–Emden type

(2010) H. Adibi et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

An analytic algorithm of Lane–Emden type equations arising in astrophysics using modified Homotopy analysis method

(2009) Om P. Singh et al.   COMPUTER PHYSICS COMMUNICATIONS

Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane–Emden type

(2009) K. Parand et al.   JOURNAL OF COMPUTATIONAL PHYSICS

The numerical solution of the second Painlevé equation

(2009) Mehdi Dehghan et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Homotopy analysis method for singular IVPs of Emden–Fowler type

(2008) A. Sami Bataineh et al.   Communications in Nonlinear Science and Numerical Simulation

A generalization of the Lane–Emden equation

(2008) Afgan Aslanov   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

Finding approximate solutions for a class of third-order non-linear boundary value problems via the decomposition method of Adomian

(2008) Mehdi Dehghan et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

First integrals and bifurcations of a Lane–Emden equation of the second kind

(2008) C. Harley et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Solutions of singular IVPs of Lane–Emden type by the variational iteration method

(2008) Ahmet Yıldırım et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Analytic and numerical solutions to the Lane–Emden equation

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

Determination of convergence intervals of the series solutions of Emden–Fowler equations using polytropes and isothermal spheres

(2008) Afgan Aslanov   PHYSICS LETTERS A

Hybrid functions for nonlinear initial-value problems with applications to Lane–Emden type equations

(2008) H.R. Marzban et al.   PHYSICS LETTERS A

Instability of invariant boundary conditions of a generalized Lane–Emden equation of the second-kind

(2007) C. Harley et al.   APPLIED MATHEMATICS AND COMPUTATION

Approximate solution of a differential equation arising in astrophysics using the variational iteration method

(2007) Mehdi Dehghan et al.   NEW ASTRONOMY

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