3. (a) Solve the diffusion equation with convection Ju k +c- t x x...

 

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3. (a) Solve the diffusion equation with convection ди J²u ди k +c- Ət əx² Əx = ∞ < x <∞ u (x,0) = f(x). [Hint: Use the convolution theorem and the theorem (see Exercise) 10.4.5.] (b) Consider the initial condition to be d (r). Sketch the corresponding u(x, t) for vario values of t > 0. Comment on the significance of the convection term ????х' сди 3. (a) Solve the diffusion equation with convection ди J²u ди k +c- Ət əx² Əx = ∞ < x <∞ u (x,0) = f(x). [Hint: Use the convolution theorem and the theorem (see Exercise) 10.4.5.] (b) Consider the initial condition to be d (r). Sketch the corresponding u(x, t) for vario values of t > 0. Comment on the significance of the convection term ????х' сди

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