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November 1st, 2016, 11:51 AM  #1 
Senior Member Joined: May 2012 Posts: 203 Thanks: 5  Numerical
Hello, I want to solve an ode numerically, but, it has a complex number coefficient. How can I proceed?

November 1st, 2016, 03:53 PM  #2 
Math Team Joined: Jan 2015 From: Alabama Posts: 2,243 Thanks: 559 
All of the standard numerical solver methods work perfectly well with complex numbers.

November 7th, 2016, 10:46 AM  #3 
Senior Member Joined: May 2012 Posts: 203 Thanks: 5 
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. 
November 8th, 2016, 12:41 AM  #4 
Global Moderator Joined: Dec 2006 Posts: 16,368 Thanks: 1172 
Unless R = 0, the only possible real solution is Y = 0 (provided that a = b = 0 as well).


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