| Issue |
ITM Web Conf.
Volume 22, 2018
The Third International Conference on Computational Mathematics and Engineering Sciences (CMES2018)
|
|
|---|---|---|
| Article Number | 01044 | |
| Number of page(s) | 6 | |
| DOI | https://doi.org/10.1051/itmconf/20182201044 | |
| Published online | 17 October 2018 | |
Approximate Solutions of Two-Dimensional Burgers' and Coupled Burgers' Equations by Residual Power Series Method
1
Department of Mathematics, Firat University, Elazig, Turkey
2
Department of Road Construction, Duhok Polytechnic University, Duhok, Iraq
* Corresponding author: sgulsen2301@gmail.com
In this study, two-dimensional Burgers' and coupled Burgers' equations are examined by the residual power series method. This method provides series solutions which are rapidly convergent and their components are easily calculable by Mathematica. When the solution is polynomial, the method gives the exact solution using Taylor series expansion. The results display that the method is more efficient, applicable and accuracy and the graphical consequences clearly present the reliability of the method.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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