System of 1st Order PDEs - Method of Lines

[chole88]

Homework Statement

6 1st order, nonlinear PDEs in one space and one time variable.
6 variables are function of space and time: a, b, c, d, e f

2. The attempt at a solution
Method of lines - Discretize in space. Turns system of PDEs into a much larger system of ODEs. The time term remains untouched (not discretized). Solve the ODEs using Matlab solver, ode15s.

3. Roadblock
Two of the equations do not have time-dependent derivatives in them. How do I enforce this?

 

[AEM]

Homework Statement

3. Roadblock
Two of the equations do not have time-dependent derivatives in them. How do I enforce this?

You didn't give us these two differential equations, or, in fact any of the other equations, that makes it a bit hard to offer help.