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Solution of Lane–Emden type equations using Legendre operational matrix of differentiation

✍ Scribed by Rajesh K. Pandey; Narayan Kumar; Abhinav Bhardwaj; Goutam Dutta


Book ID
113440167
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
415 KB
Volume
218
Category
Article
ISSN
0096-3003

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On using a modified Legendre-spectral me
✍ H. Adibi; A.M. Rismani 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 244 KB

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 emp