The browser you are using is not supported by this website. All versions of Internet Explorer are no longer supported, either by us or Microsoft (read more here: https://www.microsoft.com/en-us/microsoft-365/windows/end-of-ie-support).

Please use a modern browser to fully experience our website, such as the newest versions of Edge, Chrome, Firefox or Safari etc.

A nodal method for absorption-diffusion problems

På svenska

Author

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

Publishing year

2006

Language

English

Pages

45-58

Publication/Series

Applied and Computational Mathematics: An International Journal

Volume

5

Issue

1

Document type

Journal article

Publisher

Azerbaijan National Academy of Sciences

Topic

  • Mathematics

Keywords

  • Nodal method
  • diffusion
  • absorption
  • consistency
  • truncation error

Status

Published

ISBN/ISSN/Other

  • ISSN: 1683-6154