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

DOI10.1016/j.apm.2011.12.018zbMath1252.65135OpenAlexW2011472564MaRDI QIDQ693638

Ali Mohamadnejad Rismani, Hossein Monfared

Publication date: 7 December 2012

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2011.12.018

zbMATH Keywords

Lagrange interpolationLane-Emden type equationssemi-infiniteLegendre-spectral methodsingular IVPs

Mathematics Subject Classification ID

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

Related Items (11)

A new tau method for solving nonlinear Lane-Emden type equations via Bernoulli operational matrix of differentiation ⋮ Fractional nonlinear Volterra-Fredholm integral equations involving Atangana-Baleanu fractional derivative: framelet applications ⋮ A Computational Method for Solving the Lane-Emden Initial Value Problems ⋮ A Multi-Domain Bivariate Pseudospectral Method for Evolution Equations ⋮ Series solution and Chebyshev collocation method for the initial value problem of Emden-Fowler equation ⋮ Taylor wavelet solution of linear and nonlinear Lane-Emden equations ⋮ Convergence analysis of Legendre pseudospectral scheme for solving nonlinear systems of Volterra integral equations ⋮ Numerical study of astrophysics equations by meshless collocation method based on compactly supported radial basis function ⋮ A Jacobi rational pseudospectral method for Lane-Emden initial value problems arising in astrophysics on a semi-infinite interval ⋮ An iterative multistep kernel based method for nonlinear Volterra integral and integro-differential equations of fractional order ⋮ Four techniques based on the B-spline expansion and the collocation approach for the numerical solution of the Lane-Emden equation

Cites Work

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• Solution of physical problems by decomposition
• Adomian decomposition method for a reliable treatment of the Emden-Fowler equation
• Homotopy perturbation method: a new nonlinear analytical technique
• The modified decomposition method for analytic treatment of differential equations
• Nonperturbative approximate solution for Lane–Emden equation
• The Numerical Solution of Special Fourth-Order Boundary Value Problems by the Modified Decomposition Method
• A new perturbative approach to nonlinear problems
• A new algorithm for solving differential equations of Lane-Emden type

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