Title :
Usage of orthogonal polynomials at calculation of transfer processes in electric circuits with variable parameters using differential transformations
Author :
Golovin, Evgeniy D. ; Stoukatch, Oleg V.
Author_Institution :
Tomsk State Univ. of Control Syst. & Radioelectronics, Russia
Abstract :
This paper presents a new method for characterization of circuits with variable parameters in the form of an extended series by using the differential-Taylor transformations. Also, ways of increasing the solution precision are considered in the reduction of the number of series terms by using a conversion from degree in a base of orthogonal polynomials of Lagger, Legandre, and Chebyshev´s I type and displaced polynomials.
Keywords :
integro-differential equations; nonlinear network analysis; polynomials; series (mathematics); transforms; Chebyshev polynomials; Lagger polynomials; Legandre polynomials; Taylor series; differential transformations; differential-Taylor transformations; displaced polynomials; electric circuits transfer processes; extended series; integral-differential equations; orthogonal polynomials; series term reduction; variable parameter circuits; Capacitors; Circuits; Differential algebraic equations; Differential equations; Integral equations; Mathematical model; Nonlinear equations; Polynomials; Resistors; Voltage;
Conference_Titel :
Electron Devices and Materials, 2003. Proceedings. 4th Annual 2003 Siberian Russian Workshop on
Print_ISBN :
5-7782-0412-4
DOI :
10.1109/SREDM.2003.1224212
