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

DOI10.1007/s40314-013-0084-9zbMath1308.85006OpenAlexW1992214509MaRDI QIDQ2514074

Ramy M. Hafez, Ali H. Bhrawy, Eid H. Doha, Robert A. van Gorder

Publication date: 30 January 2015

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-013-0084-9

zbMATH Keywords

pseudospectral methodLane-Emden equationsoperational matrix of differentiationstellar modelJacobi rational functions

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Galactic and stellar structure (85A15) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (11)

A new exponential Jacobi pseudospectral method for solving high-order ordinary differential equations ⋮ Exponential Jacobi spectral method for hyperbolic partial differential equations ⋮ Collocation method based on rational Legendre functions for solving the magneto-hydrodynamic flow over a nonlinear stretching sheet ⋮ Exponential Jacobi-Galerkin method and its applications to multidimensional problems in unbounded domains ⋮ An efficient collocation method for a class of boundary value problems arising in mathematical physics and geometry ⋮ A pseudospectral algorithm for solving multipantograph delay systems on a semi-infinite interval using Legendre rational functions ⋮ Theoretical study on continuous polynomial wavelet bases through wavelet series collocation method for nonlinear Lane-Emden type equations ⋮ A novel algorithm based on the Legendre wavelets spectral technique for solving the Lane-Emden equations ⋮ A Domain Decomposition Based Spectral Collocation Method for Lane-Emden Equations ⋮ Numerical algorithm for solving multi-pantograph delay equations on the half-line using Jacobi rational functions with convergence analysis ⋮ Approximate solution of singular IVPs of Lane-Emden type and error estimation via advanced Adomian decomposition method

Cites Work

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