An Efficient Computational Algorithm for Solving the Nonlinear Lane-Emden Type Equations

In this paper we propose a class of second derivative multistep methods for solving some well-known classes of LaneEmden type equations which are nonlinear ordinary differential equations on the semi-infinite domain. These methods, which have good stability and accuracy properties, are useful in deal with stiff ODEs. We show superiority of these methods by applying them on the some famous Lane-Emden type equations. Keywords—Lane-Emden type equations, Nonlinear ODE, Stiff problems, Multistep methods, Astrophysics.

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