One-Dimensional Heat Conduction Equation

Heat Transfer ◽  
1986 ◽  
pp. 29-62 ◽  
Author(s):  
Martin Becker
Keyword(s):  
Heat Conduction ◽  
Heat Conduction Equation ◽  
Conduction Equation ◽  
One Dimensional

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

1961 ◽  
Vol 83 (3) ◽  
pp. 382-383 ◽  
Author(s):  
N. H. Freed ◽  
C. J. Rallis
Keyword(s):  
Heat Conduction ◽  
Heat Flow ◽  
Finite Difference ◽  
Error Estimates ◽  
Heat Conduction Equation ◽  
Truncation Error ◽  
Mesh Size ◽  
Practical Method ◽  
Conduction Equation ◽  
One Dimensional

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.

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