(a) 1.5 1 0.5 0 -0.5 -1 m=21; time=0.50 D=0.05, U=1, Ax=0.1, At=0.05 Time=0.5 Exact Numerical...

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(a) 1.5 1 0.5 0 -0.5 -1 m=21; time=0.50 D=0.05, U=1, Ax=0.1, At=0.05 Time=0.5 Exact Numerical (b) 1.5 1.5 1 0.5 0 -0.5 -1 m=201; time=0.50 D=0.05, U=1, Ax=0.01, At=0.0005 Time=0.5 Exact Numerical -1.5 0.5 2 -1.5 0.5 1 1.5 FIGURE 6.5 (a) A comparison of the numerical solution of the advection-diffusion equation with the analytical solution for L = 2, U = 1; D = 0.05; k = 1, at time 0.5, for relatively low resolution. (b) a comparison of the numerical solution of the advection-diffusion equation with the analytical solution for high resolution. (See the text for the numerical parameters used.) 2 (a) 1.5 1 0.5 0 -0.5 -1 m=21; time=0.50 D=0.05, U=1, Ax=0.1, At=0.05 Time=0.5 Exact Numerical (b) 1.5 1.5 1 0.5 0 -0.5 -1 m=201; time=0.50 D=0.05, U=1, Ax=0.01, At=0.0005 Time=0.5 Exact Numerical -1.5 0.5 2 -1.5 0.5 1 1.5 FIGURE 6.5 (a) A comparison of the numerical solution of the advection-diffusion equation with the analytical solution for L = 2, U = 1; D = 0.05; k = 1, at time 0.5, for relatively low resolution. (b) a comparison of the numerical solution of the advection-diffusion equation with the analytical solution for high resolution. (See the text for the numerical parameters used.) 2

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