NASA has a problem with #1 and #2 in space. Wat do? Crowdsource it, in the form of a contest [space.com] where anyone can submit a superior method. The contest just ended.
NASA astronauts' current method of waste disposal involves using a diaper during spacewalks and launch and entry, but these systems can be used only for about a day. The agency noted that it is difficult to design pooping systems for microgravity, where fluids and other things float. Maintaining good hygiene for these systems was among the primary challenges participants were tasked with solving.