On using a modified Legendre-spectral method for solving singular IVPs of Lane-Emden type.
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Publication:623145
DOI10.1016/j.camwa.2010.07.056zbMath1205.65201OpenAlexW1963481762MaRDI QIDQ623145
Publication date: 13 February 2011
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2010.07.056
Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)
Related Items (19)
A Computational Method for Solving the Lane-Emden Initial Value Problems ⋮ A Multi-Domain Bivariate Pseudospectral Method for Evolution Equations ⋮ A fast Fourier spectral exponential time-differencing method for solving the time-fractional mobile-immobile advection-dispersion equation ⋮ A numerical method for Lane-Emden equations using hybrid functions and the collocation method ⋮ A Jacobi-Gauss collocation method for solving nonlinear Lane-Emden type equations ⋮ A nonclassical Radau collocation method for nonlinear initial-value problems with applications to Lane-Emden type equations ⋮ An efficient collocation method for a class of boundary value problems arising in mathematical physics and geometry ⋮ A new Legendre collocation method for solving a two-dimensional fractional diffusion equation ⋮ Convergence analysis of Legendre pseudospectral scheme for solving nonlinear systems of Volterra integral equations ⋮ A numerical approach for solving the high-order linear singular differential-difference equations ⋮ Laguerre collocation method for solving Lane-Emden type equations ⋮ Jacobi pseudo-spectral method JPSM and BPES for solving differential equations ⋮ Numerical solution of Volterra-Fredholm integral equations by moving least square method and Chebyshev polynomials ⋮ Lagrange operational matrix methods to Lane-Emden, Riccati's and Bessel's equations ⋮ Approximate solution of fractional order Lane-Emden type differential equation by orthonormal Bernoulli's polynomials ⋮ Numerical study of astrophysics equations by meshless collocation method based on compactly supported radial basis function ⋮ Jacobi rational–Gauss collocation method for Lane–Emden equations of astrophysical significance ⋮ Solving nonlinear differential equations in astrophysics and fluid mechanics using the generalized pseudospectral method ⋮ 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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- 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
- Variational approach to the Lane--Emden equation
- A new method for solving singular initial value problems in the second-order ordinary differential equations
- A new perturbative approach to nonlinear problems
- Quasilinearization approach to nonlinear problems in physics with application to nonlinear ODEs
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