0
RESEARCH PAPERS

Optimal Finite Analytic Methods

[+] Author and Article Information
R. Manohar, J. W. Stephenson

Department of Mathematics, University of Saskatchewan, Saskatoon, Saskatchewan, S7N 0W0 Canada

J. Heat Transfer 104(3), 432-437 (Aug 01, 1982) (6 pages) doi:10.1115/1.3245111 History: Received March 04, 1981; Online October 20, 2009

Abstract

A new method is proposed for obtaining finite difference equations for the solution of linear partial differential equations. The method is based on representing the approximate solution locally on a mesh element by polynomials which satisfy the differential equation. Then, by collocation, the value of the approximate solution, and its derivatives at the center of the mesh element may be expressed as a linear combination of neighbouring values of the solution.

Copyright © 1982 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In