Regarding the numerical solutions of the Sharma-Tasso-Olver equation

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 successf...

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Bibliographic Details
Published in:ITM web of conferences 2018, Vol.22, p.1036
Main Authors: Sulaiman, Tukur Abdulkadir, Yokus, Asif, Gulluoglu, Nesrin, Baskonus, Haci Mehmet
Format: Article
Language:English
Subjects:
Exponential functions
Mathematical models
Stability analysis
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Summary: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 L 2 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.
ISSN:2271-2097
2431-7578
2271-2097
DOI:10.1051/itmconf/20182201036