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- Title
Four techniques based on the B-spline expansion and the collocation approach for the numerical solution of the Lane-Emden equation.
- Authors
Lakestani, Mehrdad; Dehghan, Mehdi
- Abstract
Four numerical techniques based on the linear B-spline functions are presented for the numerical solution of the Lane-Emden equation. Some properties of the B-spline functions are presented and are utilized to reduce the solution of the Lane-Emden equation to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the new techniques. Copyright © 2013 John Wiley & Sons, Ltd.
- Subjects
SPLINE theory; LANE-Emden equation; DERIVATIVES (Mathematics); INTEGRALS; ASTROPHYSICS formulae; ALGEBRAIC equations
- Publication
Mathematical Methods in the Applied Sciences, 2013, Vol 36, Issue 16, p2243
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.2755