A numerical method for Lane-Emden equations using hybrid functions and the collocation method

DOI10.1155/2012/316534zbMath1235.65107OpenAlexW1985066027WikidataQ58906643 ScholiaQ58906643MaRDI QIDQ410929

Changqing Yang, Jian-Hua Hou

Publication date: 4 April 2012

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

Full work available at URL: https://doi.org/10.1155/2012/316534

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for ordinary differential equations (65L99)

Related Items (2)

Solving certain classes of Lane-Emden type equations using the differential transformation method ⋮ A coupled method of Laplace transform and Legendre wavelets for Lane-Emden-type differential equations

Cites Work

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• An approximation algorithm for the solution of the nonlinear Lane-Emden type equations arising in astrophysics using Hermite functions collocation method
• A reliable treatment of singular Emden-Fowler initial value problems and boundary value problems
• On using a modified Legendre-spectral method for solving singular IVPs of Lane-Emden type.
• Solving linear integro-differential equation system by Galerkin methods with hybrid functions
• 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
• On the numerical solution of differential equations of Lane-Emden type
• A new method for solving singular initial value problems in the second-order ordinary differential equations
• Nonperturbative approximate solution for Lane–Emden equation
• A machine program for theorem-proving
• A new algorithm for solving differential equations of Lane-Emden type
• Direct method for variational problems via hybrid of block-pulse and Chebyshev functions

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