Numerical Method for Non-Linear Conservation Laws: Inviscid Burgers Equation

This paper deals with the Burgers equation which is most common model used in nonlinear conservation laws. Here theoretical aspect of law discussed by using inviscid equation. At first, we introduce general non-linear as a partial differential and its solution procedure method characteristic. Next, present weak problem entropy condition. Taking into account shock wave rarefaction wave, Riemann has also been discussed. Finally, finite volume considered to approximate numerical continuous discontinuous initial data. An illustration provided some examples. Moreover, Godunov provides good approximation for problem.