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Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition
book

Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition

by Harold Klee, Randal Allen
April 2016
Intermediate to advanced content levelIntermediate to advanced
815 pages
31h 29m
English
CRC Press
Content preview from Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition
The model parameters are l ¼0.2 new cells per cell per week and a ¼0.02 per week.
A tumor initially contains one thousand cells.
(c) Compare results from the exact solution and approximate solutions with a step size of
T ¼0.25 week. Plot the approximate and exact solutions on the same graph.
(a) Combining the derivative function
f
A
(i) ¼ f[t
i
, V
A
(i)] ¼ le
at
i
V
A
(i)(6:196)
with the AB-2 integrator of Equation 6.180, that is,
V
A
(i þ 1) ¼ V
A
(i) þ
T
2
[3f
A
(i) f
A
(i 1)]
yields the second-order difference equation
V
A
(i þ 1) ¼ V
A
(i) þ
T
2
[3le
at
i
V
A
(i) le
at
i1
V
A
(i 1)] (6:197)
¼ 1 þ
3
2
lTe
aiT

V
A
(i)
1
2
lTe
a(i1)T
V
A
(i 1), i ¼ 1, 2, 3, ... (6:198)
Repeating
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Publisher Resources

ISBN: 9781439836736