Mobile IPv6 has been proposed by the IETF (Internet Engineering Task Force) to be the solution to mobility management in IPv6 network. The work is now culminating to a standard status. But, one problem still remaining is the length of the handover time, which might cause packet loss. Thus the handover time should be as short as possible. Especially the real-time traffic suffers from packet loss. Earlier we have introduced a new method for faster handover process in Mobile IPv6 network called the Flow-based Fast Handover Method for Mobile IPv6 (FFHMIPv6). FFHMIPv6 uses the flow state information stored in the routers for the fast redirection of the flow. In this paper we compare the proposed FFHMIPv6 protocol to other methods using both theoretical analysis and Network Simulator 2 (ns-2) simulations.