Mehrdad 
July 27, 2011 16:09 
deal with coupled equations
1 Attachment(s)
Hello;
Actually, I am working on simulating the battery characteristics based on the control volume discretization. But, two equations in my model are coupled nonlinearly. First equation is for concentration of lithium ions and second is for charge distribution across the battery (I attached a photo of these two Eqs). The later equation consist of a term as follows:
where kappa is a constant and c is the concentration of Lithium ion.
I decided to lag this term and use the concentrations from the previous iteration, so I sent this term to RHS and dealt with it as a source term. But, it caused a large amount of error.
I do not know how can I treat this term differently. So, any new idea is very welcome.
I really appreciate your helps in advance.
