| Issue |
ITM Web Conf.
Volume 22, 2018
The Third International Conference on Computational Mathematics and Engineering Sciences (CMES2018)
|
|
|---|---|---|
| Article Number | 01036 | |
| Number of page(s) | 9 | |
| DOI | https://doi.org/10.1051/itmconf/20182201036 | |
| Published online | 17 October 2018 | |
Regarding the numerical solutions of the Sharma-Tasso-Olver equation
1
Department of Mathematics, Firat University, Elazig, Turkey
2
Department of Mathematics, Federal University, Dutse, Jigawa, Nigeria
3
Department of Actuary, Firat University, Elazig, Turkey
4
Department of Mathematics, University of Harran, Sanliurfa, Turkey
5
Department of Computer Engineering, Munzur University, Tunceli, Turkey
* Corresponding Author: ngulluoglu@harran.edu.tr
With aid of the Wolfram Mathematica package, this study investigates the solutions of a nonlinear model with strong nonlinear- ity, namely; the Sharma-Tasso-Olver equation. We use the improved Bernoulli sub-equation function method in acquiring the analytical so- lution to this equation, we successfully obtain one-singular soliton so- lution with exponential function structure. Through the obtained ana- lytical solution, the finite forward difference method is used in approx- imating the exact and numerical solutions to this equation. We check the stability of the finite forward difference method with this equation using the Fourier-Von Neumann stability analysis. We find the L2 and L∞ norm error to the numerical approximation. We present the in- teresting 3D and 2D figures of the obtained singular soliton solution. We also plot the graphics of the numerical error, exact and numeri- cal approximations data obtained in this study by using the MATLAB package.
© 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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