Solve the following diffusion problem on the half line Uz 2uxx = 0, x >...

 

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Solve the following diffusion problem on the half line Uz – 2uxx = 0, x > 0, t> 0 (12 if 0<x <1 10 if u(x, 0) = $(x) = } x >1 u(0, t) = 0 Homogeneuous Dirichlet B.C. Write the answer in terms of the error function Solve the following diffusion problem on the half line Uz – 2uxx = 0, x > 0, t> 0 (12 if 0<x <1 10 if u(x, 0) = $(x) = } x >1 u(0, t) = 0 Homogeneuous Dirichlet B.C. Write the answer in terms of the error function