File: chem.ode

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plotutils 2.4.1-15
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# This example does a chemical kinetics simulation, for the reaction:
#
# 	A + 2B <==> C --> D
#
# The output displays the concentration of the species `C'
# as a function of time.
#
# You may run this example by doing:
#
#    ode < chem.ode | graph -T X -C
#
# or alternatively, to get a real-time plot,
#
#    ode < chem.ode | graph -T X -C -x 0 10 -y 0 0.03
#
# To improve the shape of the plotted curve, you may
# wish to spline it, by doing e.g.
#
#    ode < chem.ode | spline | graph -T X -C
#
# Alternatively, you could remove the `every 10' clause below.

# The three rate constants are:
#	kf : A + 2B --> C
#	kb : C --> A + 2B
#	kd : C --> D

a' = kb*c - kf*a*b^2
b' = kb*c - kf*a*b^2
c' = kf*a*b^2 - kb*c - kd*c
d' = kd*c

c = 0
d = 0
a = 0.1
b = 1

kf = 1
kb = 1
kd = 1
print t,c every 10
step 0,10