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November 1st, 2016, 11:51 AM   #1
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Numerical

Hello, I want to solve an ode numerically, but, it has a complex number coefficient. How can I proceed?
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November 1st, 2016, 03:53 PM   #2
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All of the standard numerical solver methods work perfectly well with complex numbers.
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November 7th, 2016, 10:46 AM   #3
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I have an ode that looks like this...

Y"+(1/x)*Y'=(k+i*R)*Y

where Y is a function of x, and R and K are real numbers

and all x are real numbers (not complex)

Y(0)=a, Y'(0)=b

Is the general solution complex? I am looking for a real solution.

What numerical method would you suggest me to use for this?
Can you outline how you would solve this?

Last edited by skipjack; November 8th, 2016 at 12:27 AM.
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November 8th, 2016, 12:41 AM   #4
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Unless R = 0, the only possible real solution is Y = 0 (provided that a = b = 0 as well).
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