scholarly journals An implicit finite difference approximation to the one-dimensional transport equation

2000 ◽  
Vol 42 ◽  
pp. 1179 ◽  
Author(s):  
Frank G. Polanco ◽  
Robert L. May
Keyword(s):  
Finite Difference ◽  
Transport Equation ◽  
Finite Difference Approximation ◽  
Difference Approximation ◽  
One Dimensional ◽  
Implicit Finite Difference ◽  
The One

AN AUDIO-FREQUENCY CIRCUIT MODEL OF THE ONE-DIMENSIONAL SCHROEDINGER EQUATION AND ITS SOURCES OF ERROR

1955 ◽  
Vol 33 (8) ◽  
pp. 483-491
Author(s):  
J. H. Blackwell ◽  
D. R. Fewer ◽  
L. J. Allen ◽  
R. S. Cass
Keyword(s):  
Finite Difference ◽  
Schroedinger Equation ◽  
Circuit Model ◽  
Finite Difference Approximation ◽  
Difference Approximation ◽  
Audio Frequency ◽  
Previous Theory ◽  
One Dimensional ◽  
The Past ◽  
The One

An audio-frequency circuit model of the one-dimensional Schroedinger equation has been constructed, based on original suggestions by G. Kron. The previous theory of such devices has been re-examined thoroughly and errors due to the basic finite-difference approximation separated from those due to electrical causes. It is found that the former type of error is likely to be dominant in practice and that in the past discrepancies due to errors of this kind have actually been ascribed to experimental causes.

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