Numerical approximation of modified Kawahara equation using Kernel smoothing method

Aiman Zara, Shafiq Ur Rehman, Fayyaz Ahmad, Salima Kouser and Anjum Pervaiz

Mathematics and Computers in Simulation (MATCOM), 2022, vol. 194, issue C, 169-184

Abstract: In this article, a numerical approximation of modified Kawahara equation is investigated by Kernel smoothing method. The spatial derivatives involved in the modified Kawahara equation are approximated by smoothing Kernel method. Whereas, for the time integration, we employ Crank–Nicolson method. The conservative nature of the proposed scheme is demonstrated by the mass conservation constant (I1) and energy conservation constant (I2). To quantify the quality of the proposed scheme, we also have performed numerical testing on a collection of test problems.

Keywords: Modified Kawahara equation; Kernel smoothing method; Solitary waves (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:194:y:2022:i:c:p:169-184

DOI: 10.1016/j.matcom.2021.11.014

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