Geodesic
The approximation of experimental dependences describing the abrupt change of condition of object of research
Matematičeskoe modelirovanie, Tome 30 (2018) no. 4, pp. 73-83

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The method for smooth approximation of experimental dependencies with sharp transitions is proposed. The technique is based on the introduced operator can switch from one function to another. This is a smooth differentiable operator similar to the well known transition operator if. The approximation involves two steps. In the first stage approximiert experimental dependences before and after the sharp transition. In the second stage the transition operator between two analytic functions defined in the first stage is use. Smooth function in the transition region contains two or three empirical constants. One of them specifies the location of the transition, the other transition speed, the third form of transition. The technique is demonstrated with respect to laws of resistance, current—voltage characteristics of the tunnel diode and to a rectangular function. It is shown that the deviation of analytical values from experimental data in the region of abrupt transitions lie within 5%.
Keywords: approximation, transition operator, laws of resistance, volt-ampere characteristic, rectangular pulse
Mots-clés : tunnel diode, RC chain. 
@article{MM_2018_30_4_a4,
     author = {V. M. Markochev},
     title = {The approximation of experimental dependences describing the abrupt change of condition of object of research},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {73--83},
     publisher = {mathdoc},
     volume = {30},
     number = {4},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2018_30_4_a4/}
}
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V. M. Markochev. The approximation of experimental dependences describing the abrupt change of condition of object of research. Matematičeskoe modelirovanie, Tome 30 (2018) no. 4, pp. 73-83. http://geodesic.mathdoc.fr/item/MM_2018_30_4_a4/