I am trying to solve this second order differential equation
θ is a function of space (x) and time (t),
κ is a function of space. This is a known ramp function that starts at 0 and increases to a fixed value.
v is constant and is
A is a constant.
With initial conditions at of ,
I have tried using pdepe but I am struggling to get it into a form that is acceptable. I have also attempted reformating it as an ODE but wasn't able to get any resonable solutions.
Is this a feasible equation that can be solved with Matlabs solvers?