Solving inter-connected ODE equations

I am following a research paper that is about the Transient thermal behaviour of a solid oxide fuel cell [https://www.researchgate.net/publication/50926872_Transient_thermal_behaviour_of_a_solid_oxide_fuel_cell].

In order to solve the temperature of different parts within the fuel cell, the following equations are to be used and then Runge-Kutta methodology is applied to give the final temperatures vector. I am new to Matlab and humbly request you to let me know whether these equations can be solved using ODE solver or whether there is a different package to solve such inter-connected ODE equations. As in the first equation, we have to find Tsa but within the same equation we have Tla as well which has to be calculated using the next equation and all the following equations have variables that are distributed among other equations. There are two more equations as well which couldNät fit into the screenshot attached.

Thank you for your understanding.

[Sam Chak]

@Rehan Khan,

Please type out all the differential equations in MATLAB code and we can probably advise you what to do next if we can investigate the problem.

Answer 1

[Alan Stevens]

The answer is Yes. You have a system of 9 ODE's. Try help ode45 for details on how to do it.