Student Support Forum: 'Third-order, non-linear ODE with integral BC' topicStudent Support Forum > General > Archives > "Third-order, non-linear ODE with integral BC"
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Servillo
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 03/31/12 10:39pm
In Response To 'Re: Third-order, non-linear ODE with integral BC'
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See, that's the bizarre thing is that the integral is specifically listed as I wrote it. My thought was that f needed to be written in terms of theta (i.e. Integrate[f[theta],{theta,0,1}]==1/(2*a)), however when do that, Mathematica tells me that my system is overdefined. If I type f[1] instead, it solves the system (though it doesn't give me anything meaningful).
I don't know if this will help, but the basic idea is that this integral represents a mass conservation condition on the system. I don't have a third boundary condition that I can just define, such as f[1]=0, so I have to use this integral as my third condition that the system must satisfy.
Unfortunately, I don't know if NDSolve can really handle integral boundary conditions, which is why I came here.
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