An approximation of one-dimensional nonlinear Kortweg de Vries equation of order nine.

Autor: Sidra Saleem, Malik Zawwar Hussain, Imran Aziz
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: PLoS ONE, Vol 17, Iss 1, p e0262157 (2022)
Druh dokumentu: article
ISSN: 1932-6203
DOI: 10.1371/journal.pone.0262157
Popis: This research presents the approximate solution of nonlinear Korteweg-de Vries equation of order nine by a hybrid staggered one-dimensional Haar wavelet collocation method. In literature, the underlying equation is derived by generalizing the bilinear form of the standard nonlinear KdV equation. The highest order derivative is approximated by Haar series, whereas the lower order derivatives are attained by integration formula introduced by Chen and Hsiao in 1997. The findings are shown in the form of tables and a figure, demonstrating the proposed technique's convergence, robustness, and ease of application in a small number of collocation points.
Databáze: Directory of Open Access Journals
Nepřihlášeným uživatelům se plný text nezobrazuje