Coupled equations solution

litonx

Hi
I have few transport equations which are coupled. coupling is only in the source term. Does the following method is okay.

time loop
{
solve(eqn1=x1*x2);
solve(eqn2=x1*x3);
..
solve(eqnN=x2*xn);
}
Does it mean sense. here eqn1..N all the transport equations of variable x1..N.

or is it possible to use a vector of length N as a variable in the transport equation. In such case, RHS would be a Matrix(N*N) and a vector(N) multiplication.

any suggestions!!

Regards -Liton