Homotopy analysis method for singular IVPs of Emden–Fowler type
✍ Scribed by A. Sami Bataineh; M.S.M. Noorani; I. Hashim
- Book ID
- 108096838
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 192 KB
- Volume
- 14
- Category
- Article
- ISSN
- 1007-5704
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📜 SIMILAR VOLUMES
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
## Abstract Motivated by the study of a two‐dimensional point vortex model, we analyse the following Emden–Fowler type problem with singular potential: where __V__(__x__) = __K__(__x__)/|__x__|^2α^ with α∈(0, 1), 0<__a__⩽__K__(__x__)⩽__b__< + ∞, ∀__x__∈Ω and ∥∇__K__∥~∞~⩽__C__. We first extend var