Rational Chebyshev Collocation Method for Solving Nonlinear Ordinary Differential Equations of Lane-emden Type
نویسندگان
چکیده
Lane-Emden equation is a nonlinear singular equation that plays an important role in the astrophysics. In this paper, we have applied the collocation method based on rational Chebyshev functions to solve Lane-Emden type equations. The method reduces solving the nonlinear ordinary differential equation to solving a system of nonlinear algebraic equations. The comparison of the results with the other numerical methods shows that our solutions are highly accurate and the method is convergent.
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