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Title: Simple Numerical Schemes for the Korteweg-deVries Equation

Abstract

Two numerical schemes, which simulate the propagation of dispersive non-linear waves, are described. The first is a split-step Fourier scheme for the Korteweg-de Vries (KdV) equation. The second is a finite-difference scheme for the modified KdV equation. The stability and accuracy of both schemes are discussed. These simple schemes can be used to study a wide variety of physical processes that involve dispersive nonlinear waves.

Authors:
;
Publication Date:
Research Org.:
University of Rochester, Rochester, NY (US)
Sponsoring Org.:
US Department of Energy (US)
OSTI Identifier:
769392
Report Number(s):
DOE/SF-19460-372
TRN: US0201355
DOE Contract Number:  
FC03-92SF19460
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: 1 Dec 2000
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; KORTEWEG-DE VRIES EQUATION; FOURIER ANALYSIS; FINITE DIFFERENCE METHOD; NONLINEAR PROBLEMS; WAVE PACKETS

Citation Formats

C. J. McKinstrie, and M. V. Kozlov. Simple Numerical Schemes for the Korteweg-deVries Equation. United States: N. p., 2000. Web. doi:10.2172/769392.
C. J. McKinstrie, & M. V. Kozlov. Simple Numerical Schemes for the Korteweg-deVries Equation. United States. doi:10.2172/769392.
C. J. McKinstrie, and M. V. Kozlov. Fri . "Simple Numerical Schemes for the Korteweg-deVries Equation". United States. doi:10.2172/769392. https://www.osti.gov/servlets/purl/769392.
@article{osti_769392,
title = {Simple Numerical Schemes for the Korteweg-deVries Equation},
author = {C. J. McKinstrie and M. V. Kozlov},
abstractNote = {Two numerical schemes, which simulate the propagation of dispersive non-linear waves, are described. The first is a split-step Fourier scheme for the Korteweg-de Vries (KdV) equation. The second is a finite-difference scheme for the modified KdV equation. The stability and accuracy of both schemes are discussed. These simple schemes can be used to study a wide variety of physical processes that involve dispersive nonlinear waves.},
doi = {10.2172/769392},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Fri Dec 01 00:00:00 EST 2000},
month = {Fri Dec 01 00:00:00 EST 2000}
}

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