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Burgers equation is considered. Burgers equation has applications in fluid dynamics, traffic flows, etc. It mimics the Navier–Stokes equations. Therefore, in this paper, an accurate method to solve the Burgers equations is sought. Jin–Xin relaxation method has been an active research area for collocated grids. However, the literature suggests that it has never been tested to solve models on staggered grids. In this paper, we test the performance of the Jin–Xin relaxation method in solving a hyperbolic problem on staggered grids. Our research results show that the Jin–Xin method is successful in solving the Burgers equations on staggered grids.

A staggered grid Jin–Xin relaxation method used to solve the Burgers equation