Abstract
In this paper we apply the Du Fort–Frankel finite difference scheme on Burgers equation and solve three test problems. We calculate the numerical solutions using Mathematica 7.0 for different values of viscosity. We have considered smallest value of viscosity as 10−4 and observe that the numerical solutions are in good agreement with the exact solution.
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We are thankful to the reviewers for their expert comments and valuable suggestions.
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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Pandey, K., Verma, L. & Verma, A.K. Du Fort–Frankel finite difference scheme for Burgers equation. Arab. J. Math. 2, 91–101 (2013). https://doi.org/10.1007/s40065-012-0050-1
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DOI: https://doi.org/10.1007/s40065-012-0050-1