Numerical solutions of the dissipative nonlinear Schrödinger equation with variable coefficient arises in elastic tube

Numerical solutions of the dissipative nonlinear Schrödinger equation with variable coefficient arises in elastic tube

In this paper, we solved the dissipative nonlinear Schrödinger Equation (DNLSV) with variable coefficient by Crank-Nicolson (CN) implicit finite-difference method. The DNLSV equation arises in nonlinear wave modulation in an elastic tube with a symmetrical stenosis filled with viscous fluid. We then...

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Main Authors: Tay, Kim Gaik, Tiong, Wei King, Choy, Y. Y., Tiong, Ong Chee
Format: Article
Published: Watam Press 2018
Subjects:
QA75 Electronic computers. Computer science
Online Access:http://eprints.utm.my/id/eprint/86689/
https://www.researchgate.net/publication/323255562
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Institution: Universiti Teknologi Malaysia
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spelling my.utm.866892020-09-30T09:04:40Z http://eprints.utm.my/id/eprint/86689/ Numerical solutions of the dissipative nonlinear Schrödinger equation with variable coefficient arises in elastic tube Tay, Kim Gaik Tiong, Wei King Choy, Y. Y. Tiong, Ong Chee QA75 Electronic computers. Computer science In this paper, we solved the dissipative nonlinear Schrödinger Equation (DNLSV) with variable coefficient by Crank-Nicolson (CN) implicit finite-difference method. The DNLSV equation arises in nonlinear wave modulation in an elastic tube with a symmetrical stenosis filled with viscous fluid. We then compared numerical solutions with its progressive wave solution. The CN scheme is consistent with the differential equation and is unconditionally stable. Watam Press 2018 Article PeerReviewed Tay, Kim Gaik and Tiong, Wei King and Choy, Y. Y. and Tiong, Ong Chee (2018) Numerical solutions of the dissipative nonlinear Schrödinger equation with variable coefficient arises in elastic tube. Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, 25 (1). pp. 53-61. ISSN 1492-8760 https://www.researchgate.net/publication/323255562
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA75 Electronic computers. Computer science
spellingShingle QA75 Electronic computers. Computer science
Tay, Kim Gaik
Tiong, Wei King
Choy, Y. Y.
Tiong, Ong Chee
Numerical solutions of the dissipative nonlinear Schrödinger equation with variable coefficient arises in elastic tube
description In this paper, we solved the dissipative nonlinear Schrödinger Equation (DNLSV) with variable coefficient by Crank-Nicolson (CN) implicit finite-difference method. The DNLSV equation arises in nonlinear wave modulation in an elastic tube with a symmetrical stenosis filled with viscous fluid. We then compared numerical solutions with its progressive wave solution. The CN scheme is consistent with the differential equation and is unconditionally stable.
format Article
author Tay, Kim Gaik
Tiong, Wei King
Choy, Y. Y.
Tiong, Ong Chee
author_facet Tay, Kim Gaik
Tiong, Wei King
Choy, Y. Y.
Tiong, Ong Chee
author_sort Tay, Kim Gaik
title Numerical solutions of the dissipative nonlinear Schrödinger equation with variable coefficient arises in elastic tube
title_short Numerical solutions of the dissipative nonlinear Schrödinger equation with variable coefficient arises in elastic tube
title_full Numerical solutions of the dissipative nonlinear Schrödinger equation with variable coefficient arises in elastic tube
title_fullStr Numerical solutions of the dissipative nonlinear Schrödinger equation with variable coefficient arises in elastic tube
title_full_unstemmed Numerical solutions of the dissipative nonlinear Schrödinger equation with variable coefficient arises in elastic tube
title_sort numerical solutions of the dissipative nonlinear schrödinger equation with variable coefficient arises in elastic tube
publisher Watam Press
publishDate 2018
url http://eprints.utm.my/id/eprint/86689/
https://www.researchgate.net/publication/323255562
_version_ 1680321081912590336

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