Application of the nonlinear Galerkin FEM method to the numerical solution of reaction-diffusion system in two dimensions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F12%3A00202549" target="_blank" >RIV/68407700:21340/12:00202549 - isvavai.cz</a>
Result on the web
<a href="http://www.kurims.kyoto-u.ac.jp/~kenkyubu/bessatsu.html" target="_blank" >http://www.kurims.kyoto-u.ac.jp/~kenkyubu/bessatsu.html</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Application of the nonlinear Galerkin FEM method to the numerical solution of reaction-diffusion system in two dimensions
Original language description
This paper deals with an application of the nonlinear Galerkin method to the numerical solution of a particular reaction-diffusion system in two spatial dimensions. This method was suggested as well adapted for the long-term integration of the evolutionequations and combines the time and space discretization. Here we discuss the nonlinear Galerkin approach in the framework of the finite element method and give details on how the numerical scheme is derived. The modified Runge-Kutta method with adaptivetime step selection is used for the integration in time. We also present the examples of numerical results.
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
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)<br>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
Name of the periodical
RIMS Kokyuroku
ISSN
1880-2818
e-ISSN
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Volume of the periodical
B35
Issue of the periodical within the volume
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Country of publishing house
JP - JAPAN
Number of pages
19
Pages from-to
95-113
UT code for WoS article
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EID of the result in the Scopus database
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