Numerical Simulation of Two Dimensional Coupled Burgers Equations by Rubin-Graves Type Linearization

Authors : Murat YAĞMURLU, Abdulnasır GAGİR

Pages : 158-169

Doi:10.36753/mathenot.947552

View : 36 | Download : 7

Publication Date : 2021-12-31

Article Type : Research Paper

Abstract :In the present article, the numerical solution of the two-dimensional coupled Burgers equation has been sought by finite difference method based on Rubin-Graves type linearization. Three models with appropriate initial and boundary conditions are applied to the problem. In order to show the accuracy of the method, the error norms $L_{2}$, $L_{\infty}$ are computed. The error norms $L_{2}$, $L_{\infty}$ of the obtained numerical solutions are compared with the error norms of some of the numerical solutions in the literature.
Keywords : Two dimensional Burgers equation, Rubin Graves type linearization, Finite difference method

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