A Comparison of Finite Difference and Finite Volume Methods with Numerical Simulations: Burgers Equation Model

In this paper, we present an intensive investigation of the finite volume method (FVM) compared to difference methods (FDMs). order show main in way approaching solution, take Burgers equation and Buckley–Leverett as examples simulate previously mentioned methods. On one hand, results using schemes Lax–Friedrichs Lax–Wendroff. other apply Godunov’s scheme method. Moreover, how starting with a variational formulation problem, element technique provides piecewise formulations functions defined by collection grid data points, while begins differential problem continues discretize derivatives. Finally, some graphical numerical comparisons are provided illustrate corroborate differences between these two