Mincha is the Yom Kippur prayer service held in the afternoon before Ne'ila.
Jewish prayer traditionally includes three daily services: Shacharit in the morning, Mincha in the afternoon, and Maariv in the evening. Yom Kippur adds or emphasizes several services, creating a long liturgical sequence that culminates in Ne'ila, the closing service near the end of the fast.
Mincha therefore comes after the morning services and before Ne'ila. In many communities, Yom Kippur’s Mincha includes a Torah reading from Leviticus and the Book of Jonah, whose story of repentance and forgiveness suits the day’s themes.
Mussaf is the additional service held earlier in the day after Shacharit, not immediately before Ne'ila. Maariv follows the conclusion of Yom Kippur, while Shacharit begins the morning cycle. Ne'ila itself is unique to Yom Kippur and is not simply another name for the afternoon service.