Nonlinear Galerkin Finite Element Method Applied to the System of Reaction-Diffusion Equations in One Space Dimension
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F17%3A00311462" target="_blank" >RIV/68407700:21340/17:00311462 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0898122117301116" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0898122117301116</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.camwa.2017.02.032" target="_blank" >10.1016/j.camwa.2017.02.032</a>
Alternative languages
Result language
angličtina
Original language name
Nonlinear Galerkin Finite Element Method Applied to the System of Reaction-Diffusion Equations in One Space Dimension
Original language description
Abstract We study the finite-element nonlinear Galerkin method in one spatial dimension and its application to the numerical solution of nontrivial dynamics in selected reaction-diffusion systems. This method was suggested as well adapted for the long-term integration of evolution equations and is studied as an alternative to the commonly used numerical approaches. The proof of the convergence of the method applied to a particular class of reaction-diffusion systems is presented. Computational properties are illustrated by results of numerical simulations. We performed the measurement of the experimental order of convergence and the computational efficiency in comparison to the usual finite-difference method.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Computers and Mathematics with Applications
ISSN
0898-1221
e-ISSN
1873-7668
Volume of the periodical
73
Issue of the periodical within the volume
9
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
13
Pages from-to
2053-2065
UT code for WoS article
000400878700013
EID of the result in the Scopus database
2-s2.0-85015274533