International Journal of Mathematical Research 2311-7427 2306-2223 International Journal of Mathematical Research Explicit Numerical Solution of High - Dimensional Advection - Diffusion International Journal of Mathematical Research International Journal of Mathematical Research 06-2013 2013 06-2013 06-2013 2 3 17 22 30 Nov 30 Nov The Several numerical techniques have been developed and compared for solving the one-dimensional and three-dimentional advection-diffusion equation with constant coefficients. the subject has played very important roles to fluid dynamics as well as many other field of science and engineering. In this article, we will be presenting the of n-dimentional and we neglect the numerical examples.