Solving the Shunting Equation

I am new in matlab, and looking for an implemenation or guide to implementation of shunting equation given below

It is basically an implementation of cellular neural network for Path planning. I am sharing the link to the ieee paper with it. Any help would be appreciated.

https://ieeexplore.ieee.org/document/1262545 (can directly refer to equation no. 3 from paper)

[Torsten]

You can directly apply one of the solvers from MATLAB's ODE suite, e.g. ODE45, ODE15S.

[Asad Naveed]

why you think it is an ODE while in my understanding, differential equation just shows the change of values with time. I dont believe it is a typical example of differential equation.

[Torsten]

dx_i/dt is the change of the function x_i with t.

Equations (3) define a typical system of ordinary differential equations in t.

[Asad Naveed]

I am very thankful for your feedback.

Could you kindly write a rough sketch/pseudo code for it ? since each neuron is dependant on the value from the neighboring neurons and form a topological kind of structure, and gets complicated. I will be so thankful of you if you help with it.

[Torsten]

No, sorry, but this is overcharged.

The problem you describe is not a MATLAB problem, but a problem with regard to contents that you have to solve on your own.