Abstract : 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.
https://hal.archives-ouvertes.fr/hal-01223522
Contributeur : Denys Dutykh
<>
Soumis le : dimanche 9 avril 2017 - 18:21:15
Dernière modification le : jeudi 11 janvier 2018 - 06:12:26
Document(s) archivé(s) le : lundi 10 juillet 2017 - 12:10:19
Gayaz Khakimzyanov, Denys Dutykh. On supraconvergence phenomenon for second order centered finite differences on non-uniform grids. 26 pages, 2 figures, 2 tables, 37 references. Other author's papers can be downloaded at http://w.. 2017. 〈hal-01223522v5〉
