Analysis and application of the discontinuous Galerkin method to the RLW equation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10195486" target="_blank" >RIV/00216208:11320/13:10195486 - isvavai.cz</a>
Alternative codes found
RIV/46747885:24510/13:#0001000
Result on the web
<a href="http://dx.doi.org/10.1186/1687-2770-2013-116" target="_blank" >http://dx.doi.org/10.1186/1687-2770-2013-116</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1186/1687-2770-2013-116" target="_blank" >10.1186/1687-2770-2013-116</a>
Alternative languages
Result language
angličtina
Original language name
Analysis and application of the discontinuous Galerkin method to the RLW equation
Original language description
In this work, our main purpose is to develop of a sufficiently robust, accurate and efficient numerical scheme for the solution of the regularized long wave (RLW) equation, an important partial differential equation with quadratic nonlinearity, describing a large number of physical phenomena. The crucial 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. Furthermore, a suitable linearization preserves a linear algebraic problem at each time level. We present error analysis of the proposed scheme for the case of nonsymmetric discretization of the dispersive term. The appended numericalexperiments confirm theoretical results and investigate the conservative properties of the RLW equation related to mass, momentum and energy. Both procedures illustrate the potency of the scheme consequently.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/EE2.3.09.0155" target="_blank" >EE2.3.09.0155: Constitution and improvement of a team for demanding technical computations on parallel computers at TU Liberec</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Boundary Value Problems [online]
ISSN
1687-2770
e-ISSN
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Volume of the periodical
neuveden
Issue of the periodical within the volume
116 (7 May 2013)
Country of publishing house
GB - UNITED KINGDOM
Number of pages
20
Pages from-to
1-20
UT code for WoS article
000320662500001
EID of the result in the Scopus database
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