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Write a MATLAB program that uses the method of lines, RK4, and finite differences to solve the diffusion equation (∂c)/(∂t)=(∂^2 c)/(∂x^2) subject to an initial condition c(x, 0)=1 and boundary conditions c(0, t)=1 and c(1, t)=0. Your program should automatically plot the solution at the times t=0.0005, 0.005,0.02,0.05,0.1, and 0.5 . | Numerade
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