Discrete fractional numerical analysis on the shallow water wave theory


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Authors

  • Shkelqim Hajrulla Epoka University
  • Alma Sheko University of Vlora
  • Robert Kosova University "Aleksander Moisiu" Durres
  • Loubna Ali Berlin School of Business and Innovation
  • Ozen Ozer Kırklareli University

Keywords:

shallow waves, approximations, waves distribution, coastal engineering, mathematical techniques, errors

Abstract

In order to address the wave height distribution in any region, from deep ocean to shallow water,
coastal engineering, electromagnetic wave propagation and scattering, and acoustics, this study introduces
numerical methods to tackle a variety of problems in wave theory. At that point, numerical analysis and
techniques become useful in assisting us in obtaining the most accurate approximation possible for our
barrier.
The core formulas of our numerical analysis technique are the linearized wave equations with unknown
functions only at the water surface, like the particle velocity components and the elevation of the water
surface, which are derived from the Eulerian equations of motion and continuity assuming small amplitude
in constant water depth.
We quantify the accuracy of discretization solution techniques such as finite difference or finite elements
schemes in powers of a discretization step size h. The Nemerov system is useful. A method with p > 2 is
typically referred to as a higher order method, and one with error O (h
p
) is said to be of order p.

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Author Biographies

Shkelqim Hajrulla, Epoka University

Departmen of Computer Engineering, Albania

Alma Sheko, University of Vlora

Department of Informatics, Albania

Robert Kosova, University "Aleksander Moisiu" Durres

Department of Mathematics, 

Loubna Ali, Berlin School of Business and Innovation

Department of Informatics, Faculty of Computer Science and Informatics, Germany

Ozen Ozer, Kırklareli University

Faculty of Science and Arts, Department of Mathematics, 

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Published

2024-06-27

How to Cite

Hajrulla, S., Sheko, A., Kosova, R., Ali, L., & Ozer, O. (2024). Discrete fractional numerical analysis on the shallow water wave theory. International Journal of Advanced Natural Sciences and Engineering Researches, 8(5), 129–139. Retrieved from https://as-proceeding.com/index.php/ijanser/article/view/1894

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