✦ LIBER ✦
On using a modified Legendre-spectral method for solving singular IVPs of Lane–Emden type
✍ Scribed by H. Adibi; A.M. Rismani
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 244 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
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.