Method of lines and pseudospectral solutions of the forced korteweg-de vries equation with variable coefficients arises in elastic tube

Tay, Kim Gaik and Tiong, Wei King and Choy, Yaan Yee and Ong, Chee Tiong (2017) Method of lines and pseudospectral solutions of the forced korteweg-de vries equation with variable coefficients arises in elastic tube. International Journal of Pure and Applied Mathematics, 116 (4). pp. 985-999. ISSN 1311-8080

[img] Text
AJ 2017 (517).pdf
Restricted to Registered users only
Download (348kB) | Request a copy

Abstract

In this paper, we solved the forced Korteweg-de vries (FKdV) with variable coef- ficient arises in nonlinear wave propagation in an elastic tube with a symmetrical stenosis filled with an inviscid fluid by two numerical methods, namely method of lines and pseudospectral method. We then compared both numerical solutions with its progressive wave solution. Both methods solve FKdV equation with maximum absolute errors of 10−4.

Item Type: Article
Uncontrolled Keywords: Forced Korteweg-de Vries equation; Method of lines; Pseudospectral method
Subjects: Q Science > QA Mathematics > QA801-939 Analytic mechanics
Divisions: Faculty of Electrical and Electronic Engineering > Department of Electronic Enngineering
Depositing User: Miss Nur Rasyidah Rosli
Date Deposited: 21 Nov 2021 07:27
Last Modified: 21 Nov 2021 07:27
URI: http://eprints.uthm.edu.my/id/eprint/3693

Actions (login required)

View Item View Item