On supraconvergence phenomenon for second order centered finite differences on non-uniform grids - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Computational and Applied Mathematics Année : 2017

On supraconvergence phenomenon for second order centered finite differences on non-uniform grids

Résumé

In the present study we consider an example of a boundary value problem for a simple second order ordinary differential equation, which may exhibit a boundary layer phenomenon. We show that usual central finite differences, which are second order accurate on a uniform grid, can be substantially upgraded to the fourth order by a suitable choice of the underlying non-uniform grid. This example is quite pedagogical and may give some ideas for more complex problems.
Fichier principal
Vignette du fichier
GK-DD-FiniteDiff-2017.pdf (375.06 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01223522 , version 1 (02-11-2015)
hal-01223522 , version 2 (27-04-2016)
hal-01223522 , version 3 (07-11-2016)
hal-01223522 , version 4 (03-02-2017)
hal-01223522 , version 5 (09-04-2017)

Licence

Paternité - Pas d'utilisation commerciale - Pas de modification

Identifiants

Citer

Gayaz Khakimzyanov, Denys Dutykh. On supraconvergence phenomenon for second order centered finite differences on non-uniform grids. Journal of Computational and Applied Mathematics, 2017, 326, pp.1-14. ⟨10.1016/j.cam.2017.05.006⟩. ⟨hal-01223522v5⟩
522 Consultations
300 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More