Title :
Analog computing of partial differential equations
Author_Institution :
Time-Freq. Dept., FEMTO-ST Inst., Besancon, France
Abstract :
We show in this paper that a class of Periodic Networks of Resistances (called PNR) can be used to solve partial differential equations. More precisely, each cell of this periodic network computes locally a finite difference approximation of the partial differential equation. The PNR circuits are composed of current source, voltage-controlled voltage source and positive and negative resistances. An example of application of PNR could be the real time control of distributed MEMS.
Keywords :
analogue circuits; approximation theory; finite difference methods; partial differential equations; PNR; PNR circuits; analog computing; current source; distributed MEMS; finite difference approximation; negative resistances; partial differential equations; periodic networks of resistances; positive resistances; voltage-controlled voltage source; Approximation methods; Boundary conditions; Electric potential; Electronic circuits; Micromechanical devices; Partial differential equations; Resistance;
Conference_Titel :
Sciences of Electronics, Technologies of Information and Telecommunications (SETIT), 2012 6th International Conference on
Conference_Location :
Sousse
Print_ISBN :
978-1-4673-1657-6
DOI :
10.1109/SETIT.2012.6481928
