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Topic: Nonlinear fit to diff eqs.
Replies: 1   Last Post: Oct 25, 1996 10:38 PM

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Posts: 5
Registered: 12/7/04
Nonlinear fit to diff eqs.
Posted: Oct 9, 1996 2:12 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Dear All,

My problem is to fit a set of data to a system of coupled first order
ordinary differential equations. The example is:

Experimental data of y1, y2 and y3 as a function of time
y1 = {a1,a2,a3,a4,.....,aN}
y2 = {b1,b2,b3,b4,.....,bN}
y3 = {c1,c2,c3,c4,.....,cN}
time = {t1,t2,t3,t4,.....,tN}

Equations to fit (for example):

y1'[t] = k1 y1[t] + k2 (1-y1[t]-y2[t]) + k4 y3[t]
y2'[t] = k2 y2[t] - k3 (1-y2[t]) + k4 y3[t]
y3'[t] = k3 (1-y1[t]-y2[t]-y3[t]) +k2 y3[t]

I need to fit my data to get those k1, k2, k3, and k4. What is the easiest
to to do this with Mathematica? Any package? Please help.

Thaks in advance,

SF








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