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
Original language | English |
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Pages (from-to) | 45-58 |
Journal | Applied and Computational Mathematics: An International Journal |
Volume | 5 |
Issue number | 1 |
Publication status | Published - 2006 |
Externally published | Yes |
Subject classification (UKÄ)
- Mathematics
Free keywords
- Nodal method
- diffusion
- absorption
- consistency
- truncation error