Usage of Orthogonal Polynomials at Calculation of Transfer Processes in Electric Circuits with Variable Parameters Using Differential Transformations

摘要

The paper presents a new method for characterization of circuit with variable parameters in the form of extended series by using the differential-Taylor transformations. Also ways of solution increasing precision are considered at reduction of number of series terms by using a conversion from degree in a base of orthogonal polynomials of Lagger, Legandre, and Chebyshev's 1 type and displaced polynomials.