Quantitative Analysis of Numerical Solution for the Gray-Scott Model

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F09%3A00165523" target="_blank" >RIV/68407700:21340/09:00165523 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

arabština

Original language name

Quantitative Analysis of Numerical Solution for the Gray-Scott Model

Original language description

in this contribution we study one particular reaction-diffusion system - the Gray Scott model. We focused on quantitative comparison of two numerical schemes which solve the model in 2D. One is based on FDM, the other is based on FEM and uses the mass-lumping technique. Both schemes are explicit and uses structured numerical grids. Modified Runge-Kutta method with adaptiv time-stepping is used for time-integration. Our numerical simulations suggest that for certain combinations of initial data and modelparameter values we may not get an agreement of numerical results provided by these numerical schemes while refinning the numerical grid. Example results are given.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/LC06052" target="_blank" >LC06052: The Nečas Center for Mathematical Modeling</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2009

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection

Doktorandské dny 2009

ISBN

978-80-01-04436-0

ISSN

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e-ISSN

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Number of pages

7

Pages from-to

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Publisher name

Česká technika - nakladatelství ČVUT

Place of publication

Praha

Event location

Praha

Event date

Nov 13, 2009

Type of event by nationality

CST - Celostátní akce

UT code for WoS article

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