| Title | A nodal method for absorption-diffusion problems |
| Authors | M. Asadzadeh, Alexandros Sopasakis |
| Publication | Applied and Computational Mathematics |
| Year | 2006 |
| Volume | 5 |
| Issue | 1 |
| Pages | 45 - 58 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Azerbaijan National Academy of Sciences |
| Abstract 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 |
| Keywords | Nodal method, diffusion, absorption, consistency, truncation error, |
| ISBN/ISSN/Other | ISSN: 1683-3511 (print) |
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