A black dwarf is the endpoint in stellar evolution for stars with a mass at or slightly above that of the sun.
While a white dwarf is a hot, dense remnant of a star that has collapsed under its own gravity after shedding its outer layers.
A white dwarf is the stage after a star has exhausted its nuclear fuel and collapses, but before it reaches the conditions necessary to become a black dwarf.
A white dwarf is hot and luminous, while a black dwarf is cold and dark. White dwarfs are supported by electron degeneracy pressure, while black dwarfs are supported by neutron degeneracy pressure.