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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
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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,


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