“…PIELM solution for 2D unsteady advection diffusion Error for 2D unsteady advection diffusionWe solve the following unsteady 2D advection-diffusion equation[23] ut + au x + bu y = ν(u xx + u yy ), (x, y, t) Ω xy x[0, 0.2],(59)u(x, y, 0) = F (x, y), (x, y) Ω xy ,(60)u(x, y, t) = B(x, y, t), (x, y, t) ∂Ω xy x[0, 0.5], (61) where Ω xy = [0, 1]x[0, 1]. a = cos(22.5) and b = sin(22.5) are advection coefficients in x and y directions and ν = 0.005 is the diffusion coefficient.…”