Write a MATLAB code to solve the diffusion equation

over the domain x ∈ [0, 1] subject to

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.

Transcribed Image Text:

d²c dx² = 0