Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/19379
DC Field | Value | Language |
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dc.contributor.author | Radojev Goran | - |
dc.contributor.author | Brdar Mirjana | - |
dc.date.accessioned | 2020-12-13T13:40:42Z | - |
dc.date.available | 2020-12-13T13:40:42Z | - |
dc.date.issued | 2019 | - |
dc.identifier.issn | 1331-0623 | - |
dc.identifier.uri | https://open.uns.ac.rs/handle/123456789/19379 | - |
dc.description.abstract | © 2019 Department of Mathematics, University of Osijek. A singularly perturbed reaction-diffusion problem in one dimension is solved numerically by a collocation method with quadratic C1-splines. Using an appropriately graded mesh of Gartland type, second order of convergence is obtained in the supremum norm uniformly, up to a logarithmic factor, in the singular perturbation parameter. The aim of this paper is to establish the advantage of using the Gartland-type mesh. The method presented here generates results that are superior to those obtained on the so-called ”smoothed Shishkin mesh”. Results of numerical experiments which illustrate our theoretical findings are presented. Furthermore, numerical results for a two-dimensional problem reveal the same order of the convergence as in the one-dimensional case, though efforts to establish its theoretical foundation are still ongoing. | - |
dc.language.iso | en | - |
dc.relation.ispartof | Mathematical Communications | - |
dc.source | CRIS UNS | - |
dc.source.uri | http://cris.uns.ac.rs | - |
dc.title | A collocation method on a Gartland-type mesh for a singularly perturbed reaction-diffusion problem | - |
dc.type | Journal/Magazine Article | - |
dc.identifier.scopus | 85059070216 | - |
dc.identifier.url | https://www.cris.uns.ac.rs/record.jsf?recordId=109942&source=BEOPEN&language=en | - |
dc.identifier.url | https://api.elsevier.com/content/abstract/scopus_id/85059070216 | - |
dc.relation.lastpage | 37 | - |
dc.relation.firstpage | 19 | - |
dc.relation.issue | 1 | - |
dc.relation.volume | 24 | - |
dc.identifier.externalcrisreference | (BISIS)109942 | - |
item.fulltext | No Fulltext | - |
item.grantfulltext | none | - |
crisitem.author.dept | Departman za matematiku i informatiku | - |
crisitem.author.dept | Katedra za opšte inženjerske discipline | - |
crisitem.author.orcid | 0000-0002-0996-6691 | - |
crisitem.author.orcid | 0000-0002-6466-9219 | - |
crisitem.author.parentorg | Prirodno-matematički fakultet | - |
crisitem.author.parentorg | Tehnološki fakultet | - |
Appears in Collections: | PMF Publikacije/Publications TF Publikacije/Publications |
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