Application of Cone-Grid Scheme for Solving Burgers Equation

Mahmoud A.E. Abdelrahman

Abstract


The cone-grid scheme for the Burgers equation is introduced, which gives exact unique solutions. The Riemann solution for the Burgers equation is the building blocks for this scheme. To validate this method and assess its accuracy, front tracking scheme is also applied to the same model. These two schemes are compared by interesting numerical examples, where the explicit solutions are known.

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