A nodal method for absorption-diffusion problems
(2006) In Applied and Computational Mathematics: An International Journal 5(1). p.45-58- Abstract
- 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
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2201794
- author
- Asadzadeh, M. and Sopasakis, Alexandros LU
- publishing date
- 2006
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Nodal method, diffusion, absorption, consistency, truncation error
- in
- Applied and Computational Mathematics: An International Journal
- volume
- 5
- issue
- 1
- pages
- 45 - 58
- publisher
- Azerbaijan National Academy of Sciences
- ISSN
- 1683-6154
- language
- English
- LU publication?
- no
- id
- eb4f76f1-4e60-4d57-873f-a910f2049dbe (old id 2201794)
- date added to LUP
- 2016-04-01 12:34:39
- date last changed
- 2018-11-21 20:08:53
@article{eb4f76f1-4e60-4d57-873f-a910f2049dbe, abstract = {{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}}, author = {{Asadzadeh, M. and Sopasakis, Alexandros}}, issn = {{1683-6154}}, keywords = {{Nodal method; diffusion; absorption; consistency; truncation error}}, language = {{eng}}, number = {{1}}, pages = {{45--58}}, publisher = {{Azerbaijan National Academy of Sciences}}, series = {{Applied and Computational Mathematics: An International Journal}}, title = {{A nodal method for absorption-diffusion problems}}, volume = {{5}}, year = {{2006}}, }