د.الطاهر الصادق الشريف2026-06-252026-06-25https://dspace.academy.edu.ly/handle/123456789/2351Until the 1940s , physical problems were classified into two categories theoretical and experimental. with the advent of the modern digital computer. A third category has emerged namely computer simulation, which complements both theoretical and experimental analysis. The fact that a high degree of ingenuity, skill, and effort are required for theoretical or analytic solutions, only a narrow range of practical problems can be investigated, owing to the complex geometries defining the problems. Also, theoretical analysis often involves some mathematical approximations that are not explainable from first principles. On the other hand, experiments are expensive, time consuming, sometimes hazardous, and do not often allow much flexibility in parameter variation. Computer simulation offers the freedom and flexibility to adjust various parameters, of the system. It has the advantage of allowing the actual work to be carried out by operators without a knowledge of higher mathematics or physics, of course, the three approaches (theoretical, experimental or computer simulation ) can be used in solving a given physical problem.Monte Carlo(MC)simulation is a method that involves random sampling for the mathematical simulation of physical systems. MC calculations are applied to problems that can be formulated in terms of probability and are usually carried out by computers. such calculations have been applied to study the behavior of nuclei, atoms, molecules, solids, liquid, and nuclear reactors. Monte Carlo Method(MCM) is a numerical method for solving mathematical models by the simulation technique.Comparison With Analytical And Numerical SolutionsApplication of monte carlo method in solving poisson s equation in comparison with analytical and numerical solutions