Alan0354
Full Member level 4
Helmholtz equation stated that
\[\nabla^2 u(r,\theta,\phi) =-ku(r,\theta,\phi) = f(r,\theta,\phi) \]
This is being used for Poisson equation with zero boundary:
\[\nabla^2 u(r,\theta,\phi) = f(r,\theta,\phi) \]
and
\[u(a,\theta,\phi)=0\]
I just don't see how this can work as \[k=m^2\] is a number only.
If \[\nabla^2 u(r,\theta,\phi)=1\] which means \[ku(r,\theta,\phi)\] is only constant numbers depending on \[m\]!!!
If \[u(r,\theta,\phi)\] is a constant number only, that cannot be right?
Please explain. Thanks
\[\nabla^2 u(r,\theta,\phi) =-ku(r,\theta,\phi) = f(r,\theta,\phi) \]
This is being used for Poisson equation with zero boundary:
\[\nabla^2 u(r,\theta,\phi) = f(r,\theta,\phi) \]
and
\[u(a,\theta,\phi)=0\]
I just don't see how this can work as \[k=m^2\] is a number only.
If \[\nabla^2 u(r,\theta,\phi)=1\] which means \[ku(r,\theta,\phi)\] is only constant numbers depending on \[m\]!!!
If \[u(r,\theta,\phi)\] is a constant number only, that cannot be right?
Please explain. Thanks