I understand that in a half-wave center-fed antenna current distribution has a sinusoidal wave approximately, so the current in the center has max value and it has to become zero at the ends of dipole which are open. But since we change the feed point from center to one of the end points, the current in feed point (the end of antenna) is not zero this time right? So it seems that moving feed point from center to end change the current distribution.
My question is how to calculate current distribution in theory in this new arrangement. I am familiar with Hallen integral equation and method of moment, but in this method we use boundary condition of current which is zero in both ends. However, in end-fed dipole it seems we do not have this boundary condition in one end.
So what should I do? Or in general how can I calculate current on dipole antenna?