IJPAM: Volume 112, No. 3 (2017)

Title

NUMERICAL SOLUTIONS OF THE FORCED PERTURBED
KORTEWEG-DE VRIES EQUATION WITH
VARIABLE COEFFICIENTS

Authors

Kim Gaik Tay$^1$, Yaan Yee Choy$^2$, Wei King Tiong$^3$
Chee Tiong Ong$^4$, Nazatulsyima Mohd Yazid$^5$
$^1$Department of Communication Engineering
University of Tun Hussein Onn Malaysia
86400, Batu Pahat, Johor, MALAYSIA
$^2$Department of Mathematics and Statistics
University of Tun Hussein Onn Malaysia
86400, Batu Pahat, Johor, MALAYSIA
$^3$Department of Computational Science and Mathematics
University of Malaysia Sarawak
Jalan Dato Mohd Musa, 94300 Kota Samarahan, Sarawak, MALAYSIA
$^4$Department of Mathematics
University of Technology Malaysia
81310 Skudai, Johor, MALAYSIA
$^5$Department of Mathematics and Statistics
University of Tun Hussein Onn Malaysia
86400, Batu Pahat, Johor, MALAYSIA

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 symmetrical 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 maximum absolute errors of $10^{-2}$.

History

Received: October 23, 2016
Revised: December 18, 2016
Published: February 9, 2017

AMS Classification, Key Words

AMS Subject Classification: 65N40
Key Words and Phrases: Korteweg-de Vries equation, perturbed Korteweg-de Vries equation, Forced perturbed Korteweg-de Vries equation, method of lines, pseudospectral method

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How to Cite?

DOI: 10.12732/ijpam.v112i3.8 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 112
Issue: 3
Pages: 557 - 570


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