Discontinuous Galerkin method for numerical solution of the regularized long wave equation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24510%2F12%3A%230000819" target="_blank" >RIV/46747885:24510/12:#0000819 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1063/1.4766775" target="_blank" >http://dx.doi.org/10.1063/1.4766775</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.4766775" target="_blank" >10.1063/1.4766775</a>
Alternative languages
Result language
angličtina
Original language name
Discontinuous Galerkin method for numerical solution of the regularized long wave equation
Original language description
In this paper we are concerned with the development of sufficiently robust, accurate and efficient numerical method for the solution of the regularized long wave (RLW) equation, an important nonlinear equation describing a large class of physical phenomena. The main idea is based on the discretization of the RLW equation with the aid of a combination of the discontinuous Galerkin method for the space semi-discretization and the backward difference formula for the time discretization. This proposed scheme seems to be a promising technique due to the high order piecewise polynomial discontinuous approximation and avoiding the time step restriction. The appended numerical experiments investigate the conservative properties of the RLW equation related to mass, momentum and energy, and illustrate the potency of the scheme, consequently.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
AIP Conference Proceedings 1497, Applications of Mathematics in Engineering and Economics, AMEE '12
ISBN
978-0-7354-1111-1
ISSN
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e-ISSN
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Number of pages
8
Pages from-to
118-125
Publisher name
American Institute of Physics
Place of publication
Melville, NY, USA
Event location
Sozopol, Bulgaria
Event date
Dec 6, 2012
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
312260000016