ITM Web Conf.
Volume 22, 2018The Third International Conference on Computational Mathematics and Engineering Sciences (CMES2018)
|Number of page(s)||9|
|Published online||17 October 2018|
Regarding the numerical solutions of the Sharma-Tasso-Olver equation
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: firstname.lastname@example.org
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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