How to solve second order wave equation with ode45 tool?

Hi everyone,

I am an aerospace engineering student who is approaching to the numerical analysis exam.

I have to solve the second-order wave equation with ode45 tool.

So, I have this prolem

I approached this way

and so

with the following IC and BC

(ICs)

(BCs) that become .

So I have something like this

(1.1)

where is a vector and A is a block matrix just like this one

So, I have to solve the (1.1) with ode45 but I have no idea of how to get started.

Any suggestions?

Thanks

[Torsten]

https://www.sciencedirect.com/science/article/pii/S0898122108003520

[Leonardo Molino]

Very helpful, thanks!