Solving coupled differential equations with iterative method.
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I am trying to solve the following coupled differential equations:
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/813234/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/813239/image.png)
where
and
.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/813244/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/813249/image.png)
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.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/813254/image.png)
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