Enhanced numerical simulation accuracy for RL and RC circuits using difference equations methods

Abstract

In this paper, we analyze and compare the effectiveness of the difference equation method and the Adams-Bashforth predictor-corrector method in simulating RL and RC circuits. The difference equation method, while straightforward for discretizing differential equations, struggles with accuracy under dynamic conditions and noise. Graphical analyses show deviations from theoretical expectations for current in RL circuits and charge in RC circuits. In contrast, the Adams-Bash forth predictor-corrector method excels in minimizing errors, even in noisy environments. Graphical representations, generated using PYTHON, confirm that current and charge aligns closely with theoretical predictions, demonstrating the method's robustness and precision. Thus, the Adams-Bashforth predictor-corrector method is identified as the superior choice for numerical simulations of RL and RC circuits.