second order ode45-where to put boundary and initial condition?

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I am solving this equation with ode45 method, p0 is already known:
and I have two conditions,
initial condition: r=0: du/dr=0;
boundary condition where r=1: u=0.
Where to put these conditions, because I can put initial condition in ode45 solver, but where to put boundary condition in this case?

Answers (1)

Torsten on 8 May 2018
u(r) = -1/(16*B)*dp0/dz*(1-r^2)
If the analytical solution is not what you want, use "bvp4c" instead of "ode45".
Best wishes

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