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

Year 2021, Volume: 9 Issue: 4, 158 - 169, 31.12.2021

Murat Yağmurlu , Abdulnasır Gagir

https://doi.org/10.36753/mathenot.947552

Cited By: 5

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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