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


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
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