# Proof for an Algorithm to Solve the Lane-Emden Equation of index m, (m?N)

@inproceedings{Dharmawardane2005ProofFA, title={Proof for an Algorithm to Solve the Lane-Emden Equation of index m, (m?N)}, author={P.M.N. Dharmawardane and R. Piyadasa and S. Wickramasuriya}, year={2005} }

The solution of the Lane-Emden equation is very important to understand the interior stellar structure, and is of great importance in Mathematics since the equation of index grater than one represents one class of non-linear differential equations. The complete solution of the differential equation can be expressed as an infinite Taylor series of even powers under the boundary conditions to be imposed at the center of the star. Department of Mathematics of University of Kelaniya has found an… Expand