Exact and Efficient Numerical approaches to MIT Bag Model

In this document, we examine exact and efficient numerical approaches to the MIT Bag Model, a theoretical framework used to describe the properties of bound quarks in Hadrons. We present the exact and Boundary Value Problem (BVP) numerical approaches. Both methods are effective in calculating the eigen-functions and energy levels. Notably, the precision of the BVP approach matches up to 10 decimal places when compared to the exact approach.