Solving coupled differential equations with iterative method.

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Jose Aroca 2021-11-25

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https://ww2.mathworks.cn/matlabcentral/answers/1595844-solving-coupled-differential-equations-with-iterative-method

I am trying to solve the following coupled differential equations:

and

where

and

The parameters here that I would like to tune are

, and all other parameters are just constants. I have solved this using the finite difference method in Matlab, but this is innacurate because it is only a first order method. I am looking for a higher order algorithm to solve this pair of equations.