> Are there different values of y for each point in space or just for each
PDE or are there just a set of values of y that are used for all PDEs for
all points in space?
There are different values of y at each point in space. If y are related
to chemcial species composition y=(y1,y2,y3) then the total number of
unknown in y would be Nspecies*Ncell
> Please give the simplest set of toy equations for your PDEs and for F
that represent what you want.
Here's an example with N\phi = 2 and Ny = 3
PDEs
\frac{\partial{\phi_1}}{\partial t} = \nabla ( D(y_1) \nabla y_1) + \nabla
( D(y_3) \nabla y_3)
\frac{\partial{\phi_2}}{\partial t} = \nabla ( D(y_2) \nabla y_2) + \nabla
( D(y_3) \nabla y_3)
NLAEs (at every point in space)
\phi_1 - exp(y1) - exp(y3) = 0
\phi_2 - exp(y2) - exp(y3) = 0
-a3(y1,y2,y3) - y3 + a2(y1,y2,y3) + y2 + a1(y1,y2,y3) + y1 + constant = 0
Again thanks a lot !!!!!!!
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