Consider the method of lines solution to the unsteady diffusion equation

subject to an initial condition c = 1 and first-order depletion reactions on each boundary, n · J = −kc, where n is an outward pointing normal vector and J = −D∇c is the flux. Determine the system of ordinary differential equations that you would need to solve using the method of lines and centered finite differences.

Transcribed Image Text:

ас at 2с д 2 D-