Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/10363
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Surla K. | en |
dc.contributor.author | Uzelac, Zorica | en |
dc.date.accessioned | 2020-03-03T14:39:06Z | - |
dc.date.available | 2020-03-03T14:39:06Z | - |
dc.date.issued | 2004-04-01 | en |
dc.identifier.issn | 3770427 | en |
dc.identifier.uri | https://open.uns.ac.rs/handle/123456789/10363 | - |
dc.description.abstract | We are concerned with a two-point boundary value problem for a semilinear singularly perturbed reaction-diffusion equation with a singular perturbation parameter ε. Our goal is to construct global ε-uniform approximations of the solution y(x) and the normalized flux P(x)=ε(d/dx)y(x), using the collocation with the classical quadratic splines u(x)∈C 1 (I) on a slightly modified piecewise uniform mesh of Shishkin type. The constructed approximate solution and normalized flux converge ε-uniformly with the rate O(n -2 ln 2 n) and O(n -1 ln n), respectively, on the Shishkin-type mesh, and with O(n -1 ln -2 n) and O(ln -3 n) when the mesh has to be modified. We present numerical experiments in support of these results. © 2003 Elsevier B.V. All rights reserved. | en |
dc.relation.ispartof | Journal of Computational and Applied Mathematics | en |
dc.title | A uniformly accurate spline collocation method for a normalized flux | en |
dc.type | Journal/Magazine Article | en |
dc.identifier.doi | 10.1016/j.cam.2003.09.021 | en |
dc.identifier.scopus | 2-s2.0-1542634759 | en |
dc.identifier.url | https://api.elsevier.com/content/abstract/scopus_id/1542634759 | en |
dc.relation.lastpage | 305 | en |
dc.relation.firstpage | 291 | en |
dc.relation.issue | 1 | en |
dc.relation.volume | 166 | en |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
Appears in Collections: | FTN Publikacije/Publications |
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