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Believe you are looking for Looking Up at the Half Moon (2010 - Japan) The synopsis... Two 17 year old teens are hospitalized for different reasons. Ezaki suffers from Hepatitis A, while Akiba is due to a weak heart. The relationship between these two hospital patients soon blossoms into romance. And it is based on an anime... Hanbun no Tsuki ga Noboru Sora subtitled looking up at the half-moon and also known as Hantsuki , is a Japanese romance light novel series written by Tsumugu Hashimoto and illustrated by Keiji Yamamoto centering on two hospitalized seventeen year olds and the love they begin to share. The series was originally serialized in MediaWorks' now-defunct light novel magazine...
Full answer by dbugger: https://movies.stackexchange.com/a/66191 (CC BY-SA 3.0).
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