Solve the unsteady diffusion equation subject to boundary conditions c(0, t) = 1 and c/x = 0

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Solve the unsteady diffusion equationat a2c 2

subject to boundary conditions c(0, t) = 1 and ∂c/∂x = 0 at x = 1. The initial condition is given by the piecewise functionc(x, 0) { 1 0 (0 < x < ) ( < x < 1)

You should also provide the physical interpretation of this problem in transport phenomena terms: What do the boundary conditions and initial conditions mean?

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