An efficient numerical algorithm for solving system of Lane-Emden type equations arising in engineering

Abstract

The purpose of this paper is to propose an efficient numerical method for solving system of Lane-Emden type equations using Chebyshev operational matrix method. This method transforms the system of Lane-Emden type equation into the system of algebraic equations with unknown Chebyshev coefficients. Some illustrative examples are given to demonstrate the efficiency and validity of the proposed algorithm. © 2019 Y. Öztürk.