F-transform based numerical solution of partial differential equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F17%3AA1801QID" target="_blank" >RIV/61988987:17610/17:A1801QID - isvavai.cz</a>
Result on the web
—
DOI - Digital Object Identifier
—

Result language
angličtina
Original language name
F-transform based numerical solution of partial differential equations
Original language description
In this paper, we propose a numerical method based on the F-transform for solving a certain type of partial differential equations (PDEs) with homogeneous Dirichlet boundary conditions and initial conditions. We show how the PDEs, after the application of the Crank-Nicolson scheme for time discretization, can be approximated by a system of linear equations with the direct F-transform components as their variables. The numerical solution of PDEs is obtained by solving the system of linear equations and the application of the inverse F-transform. The proposed method is then adjusted to the three-dimensional boundary value problem.
Czech name
—
Czech description
—

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)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the 20th Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty
ISBN
978-80-7464-932-5
ISSN
—
e-ISSN
—
Number of pages
11
Pages from-to
54-64
Publisher name
University of Ostrava
Place of publication
Ostrava
Event location
Pardubice
Event date
Sep 17, 2017
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000418391500006

Similar results(10)