Молимо вас користите овај идентификатор за цитирање или овај линк до ове ставке:
https://open.uns.ac.rs/handle/123456789/15328
Назив: | Family of quadratic spline difference schemes for a convection-diffusion problem | Аутори: | Teofanov, Ljiljana Uzelac, Zorica |
Датум издавања: | 1-јан-2007 | Часопис: | International Journal of Computer Mathematics | Сажетак: | We consider the finite difference approximation of a singularly perturbed one-dimensional convection-diffusion two-point boundary value problem. It is discretized using quadratic splines as approximation functions, equations with various piecewise constant coefficients as collocation equations and a piecewise uniform mesh of Shishkin type. The family of schemes is derived using the collocation method. The numerical methods developed here are non-monotone and therefore apart from the consistency error we use Green's grid function analysis to prove uniform convergence. We prove the almost first order of convergence and furthermore show that some of the schemes have almost second-order convergence. Numerical experiments presented in the paper confirm our theoretical results. | URI: | https://open.uns.ac.rs/handle/123456789/15328 | ISSN: | 207160 | DOI: | 10.1080/00207160601138830 |
Налази се у колекцијама: | FTN Publikacije/Publications |
Приказати целокупан запис ставки
SCOPUSTM
Навођења
2
проверено 09.09.2023.
Преглед/и станица
25
Протекла недеља
15
15
Протекли месец
0
0
проверено 10.05.2024.
Google ScholarTM
Проверите
Алт метрика
Ставке на DSpace-у су заштићене ауторским правима, са свим правима задржаним, осим ако није другачије назначено.