Monte Carlo simulation of Lane–Emden type equations arising in astrophysics

Monte Carlo (MC) method played an essential role in many areas of human activity and has found application branches physical science. This paper proposes a computational technique based on MC algorithms to solve Lane–Emden (LE) type equations. We analyze four LE equations arising astrophysics: the positive negative indices polytropic gas spheres, isothermal sphere, white dwarf equation. calculated eleven models (i.e., equations) index polytropes, nine for polytrope, Comparing numerical/analytical gives good agreement under study.