Abstract
The microelectronics area constantly demands better and improved circuit simulation tools. Therefore, in this paper, rational homotopy perturbation method and Boubaker Polynomials Expansion Scheme are applied to a differential equation from a nonlinear circuit. Comparing the results obtained by both techniques revealed that they are effective and convenient.
Highlights
Industrial competition constantly pushes the area of electronic circuit design to the limits of technology
We propose the comparison between rational homotopy perturbation method (RHPM) and Boubaker Polynomials Expansion Scheme (BPES) methods by solving the nonlinear differential equation that represents the dynamics of a nonlinear circuit
The rational homotopy perturbation method RHPM [5, 6] can be considered as a combination of the classical perturbation technique [38, 39] and the homotopy [40,41,42] but not restricted to a small parameter like traditional perturbation methods
Summary
Industrial competition constantly pushes the area of electronic circuit design to the limits of technology. This has caused a rapid growth in the levels of integration for integrated circuits and the emergence of novel devices such as single-electron transistors and memristors. In the dynamic domain (transient), the circuit analysis is carried out only numerically because the resulting differential equations are highly nonlinear. We propose the comparison between RHPM and BPES methods by solving the nonlinear differential equation that represents the dynamics of a nonlinear circuit.
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