An analytic algorithm of Lane-Emden type equations arising in astrophysics using modified Homotopy analysis method

Details An analytic algorithm of Lane-Emden type equations arising in astrophysics using modified Homotopy analysis method An analytic algorithm of Lane-Emden type equations arising in astrophysics using modified Homotopy analysis method

Jul 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009cophc.180.1116s&link_type=abstract

Computer Physics Communications, Volume 180, Issue 7, p. 1116-1124.

Physics

5

Scientific paper

Lane-Emden type equation models many phenomena in mathematical physics and astrophysics. It is a nonlinear differential equation which describes the equilibrium density distribution in self-gravitating sphere of polytropic isothermal gas, has a singularity at the origin, and is of fundamental importance in the field of stellar structure, radiative cooling, modeling of clusters of galaxies. An efficient analytic algorithm is provided for Lane-Emden type equations using modified homotopy analysis method, which is different from other analytic techniques as it itself provides us with a convenient way to adjust convergence regions even without Pade technique. Some examples are given to show its validity.

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