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Assessment of local radial basis function collocation method for diffusion problems structured with multiquadrics and polyharmonic splines [Elektronski vir]Ali, Izaz ...This paper aims to systematically assess the local radial basis function collocation method, structured with multiquadrics (MQs) and polyharmonic splines (PHSs), for solving steady and transient ... diffusion problems. The boundary value test involves a rectangle with Dirichlet, Neuman, and Robin boundary conditions, and the initial value test is associated with the Dirichlet jump problem on a square. The spectra of the free parameters of the method, i.e., node density, timestep, shape parameter, etc., are analyzed in terms of the average error. It is found that the use of MQs is less stable compared to PHSs for irregular node arrangements. For MQs, the most suitable shape parameter is determined for multiple cases. The relationship of the shape parameter with the total number of nodes, average error, node scattering factor, and the number of nodes in the local subdomain is also provided. For regular node arrangements, MQs produce slightly more accurate results, while for irregular node arrangements, PHSs provide higher accuracy than MQs. PHSs are recommended for use in diffusion problems that require irregular node spacing.Source: Mathematical and computational applications [Elektronski vir]. - ISSN 2297-8747 (Vol. 29, iss. 2, [article no.] 23, Mar. 2024, str. 1-31)Type of material - e-article ; adult, seriousPublish date - 2024Language - englishCOBISS.SI-ID - 189462019
Author | Ali, Izaz ... |
Title | Assessment of local radial basis function collocation method for diffusion problems structured with multiquadrics and polyharmonic splines [Elektronski vir] |
Publication date | 2024-03-17 |
COBISS.SI-ID | 189462019 |
Publication version in repository | Publisher's version |
Publication licence | Creative Commons Attribution 4.0 International |
Embargo | Immediate publication for public |
Project(s) from which the publication was funded
Title | Acronym | Project ID | Funder |
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Tranzientni dvofazni tokovi (2009-2021) -> Večfazni sistemi (2022-2027) | P2-0162-2022 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
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NAPREDNA SIMULACIJA IN OPTIMIZACIJA CELOTNE PROCESNE POTI ZA IZDELAVO VRHUNSKIH JEKEL | L2-3173-2021 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
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Simulacije vročega valjanja za proizvodnjo jekel vrhunskih kvalitet | L2-2609-2020 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
|
Mladi raziskovalec | MR | MR |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
RAZVOJ INOVATIVNIH BREZMREŽNIH METOD ZA VEČFIZIKALNE IN VEČNIVOJSKE SIMULACIJE VRHUNSKIH TEHNOLOGIJ | J2-4477-2022 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
Files that belong to the publication
Link |
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https://www.mdpi.com/2297-8747/29/2/23 |
https://dirros.openscience.si/IzpisGradiva.php?id=18602 |
https://repozitorij.uni-lj.si/IzpisGradiva.php?id=155074 |
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DRS, in which the journal is indexed
Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Ali, Izaz | 54918 |
Hanoglu, Umut | 30833 |
Vertnik, Robert | 23018 |
Šarler, Božidar | 04101 |
Source: Personal bibliographies
and: SICRIS
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