Skip Navigation

The Computer Journal 1971 14(3):243-248; doi:10.1093/comjnl/14.3.243
© 1971 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 (21)
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Barton, D.
Right arrow Articles by Zahar, R. V. M.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

The automatic solution of systems of ordinary differential equations by the method of Taylor series

D. Barton *, I. M. Willers * and R. V. M. Zahar *

Computer Laboratory, University of Cambridge, Cambridge, UK

A method is described for the automatic reduction of an arbitrary system of ordinary differential equations to a form suitable for solution by the method of Taylor series. The paper then describes how a program may be generated from the reduced form that will carry out the formal solution of the system by that method. Further it is shown that the reduction and the program generation may be performed by a program that is similar in may respects to a compiler that compiles programs written in a simple language. This language is defined in the paper. The method has been implemented and several examples are presented.

Received August 1970.

* Computer Laboratory, University of Cambridge, Cambridge, England


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.