Bvp4c 2nd order equation with 2nd and 3rd order boundary conditions

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Japhten
Japhten 2023-3-14
评论： Torsten 2023-3-14
Hi,
I would like to solve numerically the following equation with a singular term:
but my boundary conditions have second and third order terms:
Does someone have an idea on how to implement those boundary conditions ? Thank you.

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Torsten
Torsten 2023-3-14
Since you can only impose two boundary conditions for a second-order equation, take the first and the third. They should already suffice to fix a solution.
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Japhten
Japhten 2023-3-14
Also I actually don't know how to implement the second order boundary condition, since it involves the second derivative of w which is not in the solution vector but in its derivative
Torsten
Torsten 2023-3-14
Also I actually don't know how to implement the second order boundary condition, since it involves the second derivative of w which is not in the solution vector but in its derivative4
You are right - only the first boundary condition can be used. You miss a second one. Boundary conditions of order >= the order of the differential equation are not possible to be set.

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