Research Article

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

Volume: 9 Number: 4 December 31, 2021
Murat Yağmurlu *, Abdulnasır Gagir
EN

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

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

References

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APA
Yağmurlu, M., & Gagir, A. (2021). Numerical Simulation of Two Dimensional Coupled Burgers Equations by Rubin-Graves Type Linearization. Mathematical Sciences and Applications E-Notes, 9(4), 158-169. https://doi.org/10.36753/mathenot.947552
AMA
1.Yağmurlu M, Gagir A. Numerical Simulation of Two Dimensional Coupled Burgers Equations by Rubin-Graves Type Linearization. Math. Sci. Appl. E-Notes. 2021;9(4):158-169. doi:10.36753/mathenot.947552
Chicago
Yağmurlu, Murat, and Abdulnasır Gagir. 2021. “Numerical Simulation of Two Dimensional Coupled Burgers Equations by Rubin-Graves Type Linearization”. Mathematical Sciences and Applications E-Notes 9 (4): 158-69. https://doi.org/10.36753/mathenot.947552.
EndNote
Yağmurlu M, Gagir A (December 1, 2021) Numerical Simulation of Two Dimensional Coupled Burgers Equations by Rubin-Graves Type Linearization. Mathematical Sciences and Applications E-Notes 9 4 158–169.
IEEE
[1]M. Yağmurlu and A. Gagir, “Numerical Simulation of Two Dimensional Coupled Burgers Equations by Rubin-Graves Type Linearization”, Math. Sci. Appl. E-Notes, vol. 9, no. 4, pp. 158–169, Dec. 2021, doi: 10.36753/mathenot.947552.
ISNAD
Yağmurlu, Murat - Gagir, Abdulnasır. “Numerical Simulation of Two Dimensional Coupled Burgers Equations by Rubin-Graves Type Linearization”. Mathematical Sciences and Applications E-Notes 9/4 (December 1, 2021): 158-169. https://doi.org/10.36753/mathenot.947552.
JAMA
1.Yağmurlu M, Gagir A. Numerical Simulation of Two Dimensional Coupled Burgers Equations by Rubin-Graves Type Linearization. Math. Sci. Appl. E-Notes. 2021;9:158–169.
MLA
Yağmurlu, Murat, and Abdulnasır Gagir. “Numerical Simulation of Two Dimensional Coupled Burgers Equations by Rubin-Graves Type Linearization”. Mathematical Sciences and Applications E-Notes, vol. 9, no. 4, Dec. 2021, pp. 158-69, doi:10.36753/mathenot.947552.
Vancouver
1.Murat Yağmurlu, Abdulnasır Gagir. Numerical Simulation of Two Dimensional Coupled Burgers Equations by Rubin-Graves Type Linearization. Math. Sci. Appl. E-Notes. 2021 Dec. 1;9(4):158-69. doi:10.36753/mathenot.947552

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