In this study, we present numerical solution approaches of second-order differential equations which is used as mathematical models of electrical circuits (RLC) consisting of a resistor, an inductor and a capacitor connected in series and parallel. The Differential Transformation Method (DTM) and Exponentially Fitted Collocation Approximation Method (EFCAM) were employed to obtain numerical solutions which are compared with the analytical solutions of the electrical circuits and are found to be accurate and compatible. Obtained voltage and current parameters are presented in tables and figures to show the efficiency of numerical techniques.