Wavelet methods for fractional electrical circuit equations

Abstract Classical electric circuits consists of resistors, inductors and capacitors which have irreversible lossy properties that are not taken into account in classical analysis. FDEs can be interpreted as basic memory operators generally used to model the or defects. Therefore, employing fractional differential terms circuit equations provides accurate modelling those elements. In this paper, numerical solutions LC, RC RLC considered better imperfections. To end, operational matrices for Bernoulli Chebyshev wavelets obtain equations. orthogonal, under some circumstances, orthogonal. The wavelet methods' quick convergence minimal processing load depend on orthogonality principle. proposed method, transformed algebraic equation systems using discrete Wavelets. performance two methods compared contrasted computational load, speed, absolute error values. paper exploits solution fast convergence, low burden, compactness represent novel contributions paper. Numerical comparisons also presented validate method.