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June 15th, 2015, 07:48 AM  #1 
Newbie Joined: Jun 2015 From: Scotland Posts: 2 Thanks: 0  Best approach for solving four ODE's
Hi, I have a problem where I have four nonlinear differential equations. They are big and ugly, but I think they can be summarised as follows: dA/dz = f(A,B,C,D) dB/dz = f(A,B,C,D) dC/dz = f(A,B,C,D) dD/dz = f(A,B,C,D) I would like to integrate these equations over the range of z=0 to z=L, in order to obtain profiles of A, B, C and D. I have tried to use matlab for this, but am not very comfortable with this program, and so was considering using excel. Firstly, I would like to know the terminology for such a system of equations, in order to make it easier to find relevant information on the internet. Any help would be required (I only have excel and matlab for this). Thank you 
June 15th, 2015, 07:54 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,476 Thanks: 2039 
Would the function denoted by f be different for each equation?

June 15th, 2015, 09:10 PM  #3 
Newbie Joined: Jun 2015 From: Scotland Posts: 2 Thanks: 0 
Yes, sorry. The four functions are different.

June 16th, 2015, 02:03 AM  #4 
Senior Member Joined: Apr 2014 From: Glasgow Posts: 2,150 Thanks: 730 Math Focus: Physics, mathematical modelling, numerical and computational solutions 
If you provide the equations in more detail, we'll try and see if we can employ tricks to find an analytical solution. You might have to consider a numerical solution...


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