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Numerical solutions of the forced perturbed Korteweg-de vries equation with variable coefficients

Kim, Gaik Tay and Yaan, Yee Choy and Wei, King Tiong and Chee, Tiong Ong and Mohd. Yazid, Nazatulsyima (2017) Numerical solutions of the forced perturbed Korteweg-de vries equation with variable coefficients. International Journal of Pure and Applied Mathematics, 112 (3). pp. 557-569. ISSN 1311-8080

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Official URL: http://dx.doi.org/10.12732/ijpam.v112i3.8

Abstract

In this paper, we solved the forced perturbed Korteweg-de vries (FpKdV) with variable coefficient arises in nonlinear wave propagation in an elastic tube filled with a sym-metrical stenosis filled with a viscous fluid by two numerical methods, namely method of lines and pseudospectral method. We then compared both numerical solution with its progressive wave solution. Both methods solve FpKdV equation with maxim um absolute errors of 10−2.

Item Type:Article
Uncontrolled Keywords:Forced perturbed Korteweg-de Vries equation, method of lines, pseudospectral method
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:80062
Deposited By: Fazli Masari
Deposited On:05 Mar 2019 02:54
Last Modified:05 Mar 2019 02:54

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