Solving forward-backward coupled ODE's

Hi,

I am trying to solve the following two coupled ODE's one progressing in one direction (forwards, dx) and the other beginning at the opposite end of the domain progressing in the opposite direction (backwards, dz).

The equations can be summarized into the following forms:

dTcl/dx = terms

dTg/dz = terms

The actual two equations can be seen in the picture attached along with a simple diagram of the problem at hand.

The first equation would be re-arranged to dTcl/dx and the second to dTg/dz. x is the distance from the left hand side moving towards the right. z is the distance from the right hand side moving towards the left.

I am wondering if there is a way to solve these coupled equations with either the bvp or ode solvers, or if there are any additional ways that these can be solved on matlab.