Random Walk, Laplace Equation, Poisson Equation, Brownian Motion, Maxwell Boltzmann.
boundary as shown in Fig.2. The analytical solution at (0.9, 07) is φ(0.9, 07) = 0.32. On the other hand, a numerical solution at (0.9, 0.7) can be calculated using the exit point (0.7, -0.1), resulting in φ(0.7, -0.1) = 0.48. Fig. 2 can only show the diagonal movements of the walks because 2