MATLAB code to solve coupled differential equation

Hello Community,

I have four differential equations that needs to be solved using Runge-Kutta fourth order but I'm having difficulties understanding how to sovle them. Could you please help me out?

The equations are mentioned in the attached paper.

Please note that I'm very new to MATLAB and other coding softwares and just started to learn and develop myself.

Thank you

[Torsten]

Please note that I'm very new to MATLAB and other coding softwares and just started to learn and develop myself.

Here is the necessary help to get you started with MATLAB: an introductory online course free of costs to learn the basics.

https://matlabacademy.mathworks.com/details/matlab-onramp/gettingstarted

[Mustafa]

Thank you very much

Answer 1

[Umang Pandey]

Hi Mustafa,

I understand that you are trying to solve a set of coupled differential equations using RK fourth order.

You can refer to the following MATLAB answers to understand the implementation and get help on modelling and solving your problem :

• https://www.mathworks.com/matlabcentral/answers/1747650-applying-runge-kutta-for-coupled-equations
• https://www.mathworks.com/matlabcentral/answers/460395-runge-kutta-4th-order-method
• https://www.mathworks.com/matlabcentral/answers/572986-numerical-solution-of-the-system-of-four-coupled-nonlinear-odes-by-runge-kutta-fourth-order-method
• https://www.mathworks.com/matlabcentral/answers/774792-solving-sets-of-two-differential-equations-using-runge-kutta-4th-order-code

Hope this helps!

Best,

Umang

[Mustafa]

The links you shared were talking about something else but thanks anyway for your intiative.