Jan7-13, 10:57 AM
ok I am modelling airflow in the upper airway for application i obstructive sleep apnoea, but I have hit a brick wall with mathematica. I have a system of 3 differential equations with boundary conditions, and I need to solve to find 3 unknown functions numerically so that they may be plotted in various graphs.
The equations are as follows:
D[a[x]*u[x], x] == 0,
u[x] u'[x] == -p'[x],
p[x] - 1 == 2 (1 - ((a[x])^(-3/2))) - 50 (a''[x]).
with boundary conditions:
u == 0.1, a == 1, a == 1, p == 1.
so initially I tried to use NDSolve like so..
thanks in advance
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