I am wondering how MATLAB software solves complex differential equations (numeric solutions with the ode solvers); it breaks differential equation into two parts, real and imaginary part, and it solves each part separately or it uses some form of transformation like polar transformation?
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http://www.mathworks.com/support/solutions/en/data/1-15I1T/index.html
The short answer is that it will treat it as it is: sum of real and img separately.
? That link only says that it handles it "properly", and does not describe how it implements it.
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http://www.mathworks.com/matlabcentral/answers/74282#comment_146686
Duplicates earlier http://www.mathworks.co.uk/matlabcentral/answers/73823-how-does-matlab-software-solve-complex-differential-equations which I will now close.