A nonclassical Radau collocation method for nonlinear initial-value problems with applications to Lane-Emden type equations

DOI10.1155/2012/103205zbMath1264.65126OpenAlexW2106057654WikidataQ58905694 ScholiaQ58905694MaRDI QIDQ1952738

M. Tavassoli Kajani, Mohammad Maleki, Ishak Hashim, Adem Kilicman, Kamel Ariffin Mohd Atan

Publication date: 3 June 2013

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/103205

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (1)

On the rational second kind Chebyshev pseudospectral method for the solution of the Thomas-Fermi equation over an infinite interval

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An approximation algorithm for the solution of the nonlinear Lane-Emden type equations arising in astrophysics using Hermite functions collocation method
• A unified framework for the numerical solution of optimal control problems using pseudospectral methods
• On using a modified Legendre-spectral method for solving singular IVPs of Lane-Emden type.
• Hybrid functions for nonlinear initial-value problems with applications to Lane-Emden type equations
• Linearization methods in classical and quantum mechanics
• A numerical solution of problems in calculus of variation using direct method and nonclassical parameterization
• On the numerical solution of differential equations of Lane-Emden type
• Solutions of Emden-Fowler equations by homotopy-perturbation method
• Solutions of singular IVPs of Lane-Emden type by the variational iteration method
• Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane-Emden type
• A Gaussian quadrature procedure for use in the solution of the Boltzmann equation and related problems
• Pseudospectral Chebyshev optimal control of constrained nonlinear dynamical systems
• On the Lebesgue function of weighted Lagrange interpolation. I: Freud-type weights
• Weighted Lagrange and Hermite-Fejér interpolation on the real line
• A new analytic algorithm of Lane--Emden type equations
• Variational approach to the Lane--Emden equation
• Linearization techniques for singular initial-value problems of ordinary differential equations
• Functions of the second kind for Freud weights and series expansions of Hilbert transforms
• A new method for solving singular initial value problems in the second-order ordinary differential equations
• The asymptotic distribution of general interpolation arrays for exponential weights
• Nonclassical pseudospectral method for the solution of brachistochrone problem
• Numerical approximations for population growth model by rational Chebyshev and Hermite functions collocation approach: A comparison
• A new perturbative approach to nonlinear problems
• The pseudospectral Legendre method for discretizing optimal control problems
• Some Modified Matrix Eigenvalue Problems
• ON COSMIC MAGNETIC FIELDS
• A spectral solution of the Sturm-Liouville equation: Comparison of classical and nonclassical basis sets
• Quasilinearization approach to nonlinear problems in physics with application to nonlinear ODEs

This page was built for publication: A nonclassical Radau collocation method for nonlinear initial-value problems with applications to Lane-Emden type equations