Question: Write a MATLAB code to solve the diffusion equation over the domain x [0, 1] subject to for the (dimensionless) reaction rate k =

Write a MATLAB code to solve the diffusion equation dc dx = 0

over the domain x ∈ [0, 1] subject to c(0) = 1, dc dx lx=0 = kc(x = 0)

for the (dimensionless) reaction rate k = 2. Your program should plot the solution and compare the result to the exact solution of this linear problem. Include the derivation of the exact result along with a discussion of how you made the numerical solution and the plot.

dc dx = 0

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