Advection Diffusion Equation Numerical Solution
Consider discretize w/ upwind do taylor expansion on and the solution to the discretized equation is also the solution of ∂q ∂t +a ∂q ∂x =0,a>0 qn+1 i −q n i ∆t +a qn i −q n i−1 ∆x =0 ∂q ∂t. The advection diffusion equation (ade) is an important partial equation which describes the distribution of nitrogen gas in a given crosssectional area over time.
On the other hand, this equation is based on a continuum. The following matlab code solves the diffusion equation according to the scheme given by ( 5) and for the boundary conditions.
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