Truncation Error Estimates for Numerical and Analog Solutions of the Heat-Conduction Equation

[+] Author and Article Information
N. H. Freed, C. J. Rallis

Department of Mechanical Engineering, University of the Witwatersrand, Johannesburg, South Africa

J. Heat Transfer 83(3), 382-383 (Aug 01, 1961) (2 pages) doi:10.1115/1.3682294 History: Received December 28, 1960


A practical method is presented for obtaining a meaningful estimate of the truncation error associated with fully finite-difference forms of the heat-conduction equation. The analysis is applied in this instance to the Liebmann analog equations. It may also be used with other manual and analog methods of computation, where the error due to mesh size is relatively large. An example is given deriving error estimates for a case of one-dimensional heat flow.

Copyright © 1961 by ASME
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