Shock wave simulations using Sinc Differential Quadrature Method

Purpose - This paper aims to present a numerical solution of non-linear Burger's equation using differential quadrature method based on sinc functions. Design/methodology/approach - Sinc Differential Quadrature Method is used for space discretization and four stage Runge-Kutta algorithm is used for time discretization. A rate of convergency analysis is also performed for shock-like solution. Numerical stability analysis is performed. Findings - Sinc Differential Quadrature Method generates more accurate solutions of Burgers' equation when compared with the other methods.. Originality/value - This combination, Sinc Differential Quadrature and Runge-Kutta of order four, has not been used to obtain numerical solutions of Burgers' equation.