On using a modified Legendre-spectral method for solving singular IVPs of Lane-Emden type. (English) Zbl 1205.65201
Summary: 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.
MSC:
| 65L05 | Numerical methods for initial value problems involving ordinary differential equations |
| 65L60 | Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations |
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