coupled ODEs with two variables solver

Hi everyone,

I am trying to solve equations in the form as attached. Is it possible to use Matlab to solve these equations and where should I start? I looked up the ode45 solver, but I'm not sure how to implement it for two variables.

All best, Lukasz

Answer 1

[Torsten]

This is a hyperbolic system of 1st order partial differential equations.

If you have the NAG toolbox, there are solvers for this kind of problem.

If not, you will have to discretize the spatial derivative terms (dI/dz) and solve the resulting system of ordinary differential equations using ODE15S, e.g.

Look up "method-of-lines" for more details.

Best wishes

Torsten.