The numerical method for solving differential equations of Lane-Emden type by Padé approximation

DOI10.1155/2011/479396zbMath1217.65142OpenAlexW2135709784WikidataQ58655489 ScholiaQ58655489MaRDI QIDQ541330

Khatereh Tabatabaei, Muhammed Yiğider, Ercan Çelik

Publication date: 7 June 2011

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/479396

zbMATH Keywords

Padé approximationpower seriesdifferential equation of Lane-Emden type

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (6)

Solving certain classes of Lane-Emden type equations using the differential transformation method ⋮ Numerical resolution of Emden's equation using Adomian polynomials ⋮ New numerical technique for solving the fractional Huxley equation ⋮ Approximate analytic and numerical solutions to Lane-Emden equation via fuzzy modeling method ⋮ Theoretical study on continuous polynomial wavelet bases through wavelet series collocation method for nonlinear Lane-Emden type equations ⋮ Approximate solution of singular IVPs of Lane-Emden type and error estimation via advanced Adomian decomposition method

Cites Work

• Determination of convergence intervals of the series solutions of Emden-Fowler equations using polytropes and isothermal spheres
• Solutions of singular IVPs of Lane-Emden type by homotopy perturbation method
• 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
• Solutions of singular IVPs of Lane-Emden type by the variational iteration method
• Arbitrary order numerical method for solving differential-algebraic equation by Padé series
• Approximate solutions of Emden-Fowler type equations1
• A new algorithm for solving differential equations of Lane-Emden type

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