Skip Navigation

The Computer Journal 1968 11(3):317-323; doi:10.1093/comjnl/11.3.317
© 1968 by British Computer Society
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Similar articles in ISI Web of Science
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrow Search for citing articles in:
ISI Web of Science (10)
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Birtwistle, G. M.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

The explicit solution of the equation of heat conduction

G. M. Birtwistle *

Department of Applied Mathematics and Computing Science, The University, Sheffield, UK

In this paper we examine the n-dimensional extensions of the finite-difference schemes proposed by (a) Larkin, Lees, and Saul'yev and (b) du Fort and Frankel for the solution of the differential equation ut = uxx. The formulae obtained are explicit and stable for all values of the mesh ratios, but these ratios are found to be limited in practice by truncation error considerations. A comparison of the storage requirements and computing efficiency is made with other well known methods.

First received November 1967. revised form May 1968.

* Department of Applied Mathematics and Computing Science, The University, Sheffield.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.