This paper presents an improved user-centric non-orthogonal multiple access (NOMA) communication system utilizing in-band full duplex (IBFD) technology in a two-base station network. The authors derive and analyze the achievable rates of the proposed system, demonstrating a 64% improvement in total achievable rate compared to traditional systems under similar power constraints. The study emphasizes the potential of NOMA for enhancing spectral efficiency and supporting diverse traffic in upcoming 5G networks.