An operational matrix method for solving Lane-Emden equations arising in astrophysics

This paper deals with the numerical solution of Lane–Emden equations in arising in astrophysics by using truncated shifted Chebyshev series together with the operational matrix. The main characteristic behind the approach using this technique is that it reduces such problems to those of solving a system of algebraic equations those greatly simplifying the problem. Some examples are included to demonstrate the validity and applicability of the this technique.