Do the ODE functions from MATLAB (i.e. ODE23, ODE24) handle complex numbers properly?
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For example, I want to integrate the equation dy/dt = sqrt(t) + y for 't' from -10 to 10 and for initial 'y' values of 1 and 2.
To do this, I would use:
]
[t,y] = ode45(@(t,y) sqrt(t)+y,-10:10,[1 2]);
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MathWorks Support Team
2010-7-26
The ODE solvers in MATLAB 5 (R12) and later releases properly handle complex valued systems.
When writing code, keep in mind the following:
The ' operator implements produces the conjugate transpose, while the .' operator performs a non-conjugate transpose. Improperly using one when you want the other will result in unexpected solutions.
For example:
M = rand(2)+rand(2)*i
M =
0.4451 + 0.8462i 0.4660 + 0.2026i
0.9318 + 0.5252i 0.4186 + 0.6721i
M.'
ans =
0.4451 + 0.8462i 0.9318 + 0.5252i
0.4660 + 0.2026i 0.4186 + 0.6721i
M'
ans =
0.4451 - 0.8462i 0.9318 - 0.5252i
0.4660 - 0.2026i 0.4186 - 0.6721i
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2010-7-26
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