<abstract xmlns="http://www.w3.org/1999/xhtml"> In this study, a numerical solution of the modified Burgers’ equation is obtained by the finite difference methods. For the solution process, two linearization techniques have been applied to get over the non-linear term existing in the equation. Then, some comparisons have been made between the obtained results and those available in the literature. Furthermore, the error norms L2 and L∞ are computed and found to be sufficiently small and compatible with others in the literature. The stability analysis of the linearized finite difference equations obtained by two different linearization techniques has been separately conducted via Fourier stability analysis method.</abstract>

In this study, a numerical solution of the modified Burgers’ equation is obtained by the finite difference methods. For the solution process, two linearization techniques have been applied to get over the non-linear term existing in the equation. Then, some comparisons have been made between the obtained results and those available in the literature. Furthermore, the error norms L2 and L∞ are computed and found to be sufficiently small and compatible with others in the literature. The stability analysis of the linearized finite difference equations obtained by two different linearization techniques has been separately conducted via Fourier stability analysis method.

Numerical Solutions of the Modified Burgers’ Equation by Finite Difference Methods

Journal of Applied Mathematics, Statistics and Informatics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

In this study, a numerical solution of the modified Burgers’ equation is obtained by the finite difference methods. For the solution process, two linearization...

Numerical Solutions of the Modified Burgers’ Equation by Finite Difference Methods

Published Online: Jun 23, 2017

Page range: 19 - 30

DOI: https://doi.org/10.1515/jamsi-2017-0002

Keywords
Modified Burgers’ equation, Finite difference method, Fourier Stability Analysis

© Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Numerical Solutions of the Modified Burgers’ Equation by Finite Difference Methods

Published Online: Jun 23, 2017

Page range: 19 - 30

DOI: https://doi.org/10.1515/jamsi-2017-0002

KeywordsModified Burgers’ equation, Finite difference method, Fourier Stability Analysis

© Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Modified Burgers’ equation, Finite difference method, Fourier Stability Analysis