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

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.

Answer 1

[Torsten]

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.

[Japhten]

Yes, you're right, thank you ! But if I only had third order ones, would it be possible to do it ?

[Japhten]

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]

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.