Random Walk, Laplace Equation, Poisson Equation, Brownian Motion, Maxwell Boltzmann.
exactly the same as that obtained by combining (4), (7), and (8) and taking Δx = Δy: The equation (10) is a basic equation that forms the FEM. By (9) the expectation values at all grid points are connected from a starting point to the boundary as if the solution values at the relevant grid points