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.

Keywords

• lane-emden system
• engineering problem
• chebyshev polynomials
• operational matrix method