This research activity focuses on the analysis of the accuracy-enhancement for the discontinuous Galerkin (DG) method applied to one-dimensional scalar nonlinear hyperbolic conservation laws. The goal is to improve the accuracy of the DG method for solving nonlinear scalar conservation laws, which is crucial for various engineering and scientific applications. The research will involve theoretical analysis, numerical simulations, and experimental validation to demonstrate the effectiveness of the proposed approach. The outcome of this research will contribute to the development of more accurate and efficient numerical methods for solving nonlinear scalar conservation laws, which will have significant impacts on various fields such as fluid dynamics, solid mechanics, and materials science.