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

SH El-Essawy, MI Nouh, AA Soliman… - Astronomy and …, 2023 - Elsevier
Monte Carlo (MC) method played an essential role in many areas of human activity and has
found application in many branches of physical science. This paper proposes a …

A novel numerical solution to Lane-Emden type equations using Monte Carlo technique

SH El-Essawy, MI Nouh, AA Soliman… - Physica …, 2023 - iopscience.iop.org
Monte Carlo (MC) methods are increasingly recognized as severe in many computational
scientific fields and have diverse applications in many branches of science. This paper …

A New Numerical Solution to the Lane-Emden Equations with Cylindrical and Planar Polytropes Using the Monte Carlo Method

SH El-Essawy, AA Soliman, MI Nouh… - Sohag Journal of …, 2024 - sjsci.journals.ekb.eg
Lane-Emden equations are important because they explain a star's internal structure,
interstellar matter, molecular clouds, and even spiral arms, which can be computed and …

Computing Polytropic and Isothermal Models Using Monte Carlo Method

MI Nouh, EA Elkholy… - Revista Mexicana de …, 2024 - ui.adsabs.harvard.edu
Polytropic and isothermal gas spheres are crucial in the theory of stellar structure and
evolution, galaxy cluster modeling, thermodynamics, and various other physics, chemistry …

Capturing The van der Pol Oscillatory Behaviors through a Stochastic Approach

H Uslu, M Sari - ICAMƩ'21 - icame.balikesir.edu.tr
For decades, oscillatory behavior mostly encountered both in biological and physical
sciences has been paid high attention [1]. Even though just solving the model equations has …