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June 15th, 2015, 07:48 AM   #1
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Best approach for solving four ODE's

Hi,

I have a problem where I have four non-linear 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
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June 15th, 2015, 07:54 AM   #2
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Would the function denoted by f be different for each equation?
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June 15th, 2015, 09:10 PM   #3
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Yes, sorry. The four functions are different.
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June 16th, 2015, 02:03 AM   #4
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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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