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Numerical Solution of Reaction-Diffusion Equations

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10131023" target="_blank" >RIV/00216208:11320/12:10131023 - isvavai.cz</a>

  • Result on the web

    <a href="http://acc-ern.tul.cz/images/journal/sbornik/ACC_Journal_4_2012.pdf" target="_blank" >http://acc-ern.tul.cz/images/journal/sbornik/ACC_Journal_4_2012.pdf</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Numerical Solution of Reaction-Diffusion Equations

  • Original language description

    The subject of the presented paper is a mathematical analysis and numerical solution of the system of nonlinear nonstationary reaction-diffusion equations. Firstly, using the invariant region technique, the proof of both the existence and uniqueness of the solution and problem data continuous dependence is carried out. After time discretization of the problem the Galerkin ?nite elements method is applied and a priori error estimates of the method are derived. A suitable mesh adaptivity is discussed as well. The method is ?nally implemented and tested on several examples.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

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)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

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

    ACC Journal

  • ISSN

    1803-9782

  • e-ISSN

  • Volume of the periodical

    XVIII

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    8

  • Pages from-to

    120-128

  • UT code for WoS article

  • EID of the result in the Scopus database