An optimal sixth-order quartic B-spline collocation method for solving Bratu-type and Lane-Emden-type problems

A fourth-order B-spline collocation method and its error analysis for Bratu-type and Lane–Emden problems

(2017) Pradip Roul et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

A fast and accurate computational technique for efficient numerical solution of nonlinear singular boundary value problems

(2017) Pradip Roul   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

New approach for solving a class of singular boundary value problem arising in various physical models

(2016) Pradip Roul et al.   JOURNAL OF MATHEMATICAL CHEMISTRY

An effective computational technique for a class of Lane–Emden equations

(2015) Mandeep Singh et al.   JOURNAL OF MATHEMATICAL CHEMISTRY

An algorithm based on the variational iteration technique for the Bratu-type and the Lane–Emden problems

(2015) Nilima Das et al.   JOURNAL OF MATHEMATICAL CHEMISTRY

Efficient low-error analytical-numerical approximations for radial solutions of nonlinear Laplace equations

(2015) John Haussermann et al.   NUMERICAL ALGORITHMS

Variational iteration method for Bratu-like equation arising in electrospinning

(2014) Ji-Huan He et al.   CARBOHYDRATE POLYMERS

A modified homotopy perturbation method coupled with the Fourier transform for nonlinear and singular Lane–Emden equations

(2013) A. Nazari-Golshan et al.   APPLIED MATHEMATICS LETTERS

Solving non-linear Lane–Emden type equations using Bessel orthogonal functions collocation method

(2013) Kourosh Parand et al.   CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY

A Jacobi rational pseudospectral method for Lane–Emden initial value problems arising in astrophysics on a semi-infinite interval

(2013) E. H. Doha et al.   COMPUTATIONAL & APPLIED MATHEMATICS

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

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

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

A quartic B-spline for second-order singular boundary value problems

(2012) Joan Goh et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

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

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

Modified Adomian Decomposition Method and computer implementation for solving singular boundary value problems arising in various physical problems

(2010) Manoj Kumar et al.   COMPUTERS & CHEMICAL ENGINEERING

A novel approach for the solution of a class of singular boundary value problems arising in physiology

(2010) S.A. Khuri et al.   MATHEMATICAL AND COMPUTER MODELLING

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

(2010) Robert A. Van Gorder   NEW ASTRONOMY

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

B-spline method for solving Bratu's problem

(2009) Hikmet Caglar et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

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

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

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

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

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