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Topic: htird order boundary values problem
Replies: 1   Last Post: Nov 5, 2013 6:36 AM

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Torsten Hennig

Posts: 2,419
Registered: 12/6/04
Re: htird order boundary values problem
Posted: Nov 5, 2013 6:36 AM
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> Hi everyone, I'm trying to solve in matlab a third
> order BVP with non constant coefficents into the
> closed domain [a, b];
>
> y''' = cost - (1/x)*y'' + (1/x^2)*y'
>
> y=f(x)
>
> with this Boundary conditions.
>
> x=a : y=0; y'=0;
>
> x=b : y=0;
>
> i cannot find any way to do it...
> i've tried both ODE or BVP but i can't manage to
> solve it... does someone have any idea in which is
> the path to follow?


Use BVP4C after rewriting your system as a first-order system:
y1'(x) = y2(x)
y2'(x) = y3(x)
y3'(x) = cost - 1/x*y3(x) +1/x^2*y2(x)
with boundary conditions
y1(a)=y2(a)=y1(b)=0.

Best wishes
Torsten.



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