On using a modified Legendre-spectral method for solving singular IVPs of Lane-Emden type

Authors:
H. Adibi;A. M. Rismani
Affiliations:
-;-
Venue:
Computers & Mathematics with Applications
Year:
2010

Citing 3
Cited 1

A new method for solving singular initial value problems in the second-order ordinary differential equations

Applied Mathematics and Computation
Variational approach to the Lane--Emden equation

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Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane-Emden type

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A numerical approach for solving the high-order linear singular differential-difference equations

Computers & Mathematics with Applications

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Abstract

In this paper, approximate solutions of singular initial value problems (IVPs) of the Lane-Emden type in second-order ordinary differential equations (ODEs) are obtained by an improved Legendre-spectral method. The Legendre-Gauss points are used as collocation nodes and Lagrange interpolation is employed in the Volterra term. The results reveal that the method is effective, simple and accurate.