Hi Keith,where x is unknown.
Hi Keith,I believe so. There isn't documentation in the technical note that documents this approach in detail for vertical mixing of carbon, but something similar is done for soil temperature. See Chapter 6:
In particular, equation 2.6.12 describes the set of equations for soil temperature in which T(n+1) is the soil temperature at the next time step n+1, r is the "forcing term", and a,b,c are the subdiagonal, diagonal, and superdiagonal elements.