Bokil's primary research is in the area of computational electromagnetics. For her doctoral work, she studied ficititious domain methods, operator splitting schemes and perfectly matched layer models for wave propagation problems on unbounded domains. She is interested in finite difference and finite element methods and the analysis of their stability and dispersive properties for modeling electromagnetic materials presenting dielectric dispersion. Recently she has also worked on constructing size and class age structured population models for modeling the spread of diseases in shrimp populations.