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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

  • Czech description

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