Write a MATLAB program that uses centered finite differences to solve the onedimensional diffusion equation for a spatially dependent diffusion coefficient D(x) D 0 (1 ax) and the boundary conditions c(0) 1 and c(1) 0 Compute the solution for a 0, 0 2, 0 4, 0 6, and 0 8 using 11 nodes Plot the concentration profiles versus position for each value of a on a single plot d dx dc Doxode) 0

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Question: Write a MATLAB program that uses centered finite differences to solve the onedimensional diffusion equation for a spatially dependent diffusion coefficient D(x) = D 0

Write a MATLAB program that uses centered finite differences to solve the onedimensional diffusion equation d dx dc Doxode) = 0

for a spatially dependent diffusion coefficient D(x) = D₀(1 − ax) and the boundary conditions c(0) = 1 and c(1) = 0. Compute the solution for a = 0, 0.2, 0.4, 0.6, and 0.8 using 11 nodes. Plot the concentration profiles versus position for each value of a on a single plot.

d dx dc Doxode) = 0

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