PAMUKKALE UNIVERSITY JOURNAL OF ENGINEERING SCIENCES-PAMUKKALE UNIVERSITESI MUHENDISLIK BILIMLERI DERGISI, cilt.30, sa.7, ss.912-923, 2024 (ESCI)
In this study, we consider the Generalized Classical (GC) method based
on the differential Taylor (DT) transform method for the analysis of
transient regimes in simple electrical circuits. The approximate solution
of nonlinear differential equations of electrical circuits with variable
coefficients is found by using the GC method. It is shown that, if the
solution is decomposed as steady-state and the temporary components,
the use of the GC method can become more advantageous, and the
transient differential equation of the circuits can be analyzed without a
fully solving process. The efficiency of the considered method is
illustrated by compared with the results obtained from similar problems
in the literature. The results reveal that the proposed method is very
effective and simple and can be applied to the analysis of both linear and
nonlinear problems in physical systems. The short history and real
status of the DT transform method are mentioned briefly.