Solution of Lane-Emden type equations using Bernstein operational matrix of differentiation

Details Solution of Lane-Emden type equations using Bernstein operational matrix of differentiation Solution of Lane-Emden type equations using Bernstein operational matrix of differentiation

Apr 2012

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2012newa...17..303p&link_type=abstract

New Astronomy, Volume 17, Issue 3, p. 303-308.

Astronomy and Astrophysics

Astronomy

Scientific paper

The purpose of this paper is to propose an efficient numerical method for solving Lane-Emden type equations arising in astrophysics using Bernstein polynomials. First Bernstein operational matrix of differentiation is derived using Bernstein polynomials and then applied to solve the linear and nonlinear differential equations of Lane-Emden type. Some illustrative examples are given to demonstrate the efficiency and validity of the proposed algorithm.

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