A nodal method for absorption-diffusion problems
Författare
Summary, in English
We construct a nodal method for a two-dimensional absorption-diffusion problem. The method gives rise to a seven point stencil for which the truncation error analysis shows an accuracy of at least O(Δ2), where Δ is a uniform mesh parameter. We devise a numerical method which constructs a matrix whose entries are amplified according to contributions from each of the nodes in a rectangular domain. Numerical implementations are provided for selected examples, where the exact solutions are known, for comparison purposes
Publiceringsår
2006
Språk
Engelska
Sidor
45-58
Publikation/Tidskrift/Serie
Applied and Computational Mathematics: An International Journal
Volym
5
Issue
1
Dokumenttyp
Artikel i tidskrift
Förlag
Azerbaijan National Academy of Sciences
Ämne
- Mathematics
Nyckelord
- Nodal method
- diffusion
- absorption
- consistency
- truncation error
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 1683-6154