Solving non-linear Lane–Emden type equations using Bessel orthogonal functions collocation method-Reference-Cited by-同舟云学术

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Solving non-linear Lane–Emden type equations using Bessel orthogonal functions collocation method

Published:2013-04-24 Issue:1 Volume:116 Page:97-107
ISSN:0923-2958
Container-title:Celestial Mechanics and Dynamical Astronomy
language:en
Short-container-title:Celest Mech Dyn Astr

Author:

Parand Kourosh,Nikarya Mehran,Rad Jamal Amani

Publisher

Springer Science and Business Media LLC

Subject

Space and Planetary Science,Astronomy and Astrophysics,Applied Mathematics,Computational Mathematics,Mathematical Physics,Modeling and Simulation

Link

http://link.springer.com/content/pdf/10.1007/s10569-013-9477-8.pdf

Reference25 articles.

1. Agrawal, R.P., O’Regan, D.: Second order initial value problems of Lane–Emden type. Appl. Math. Lett. 20, 1198–1205 (2007)

2. Bataineh, A.S., Noorani, M.S.M., Hashim, I.: Homotopy analisis method for singular IVPs of Emden-Fowler type. Commun. Nonlinear. Sci. Numer. Simul. 14, 1121–1131 (2009)

3. Bell, W.W.: Special Functions For Scientists And Engineers. D. Van Nostrand Company, Canada (1967)

4. Boubaker, K., Van Gorder, R.A.: Application of the BPES to Lane–Emden equations governing polytropic and isothermal gas spheres. New Astron. 17, 565–569 (2012)

5. Boyd, J.P.: Chebyshev spectral methods and the Lane–Emden problem. Numer. Math. Theor. Meth. Appl. 4, 142–157 (2011)

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