The electronic information security model has the characteristics of nonlinearity and uncertainty. There will be great limitations if we use traditional mathematical theory for processing. Therefore, the paper proposes an electronic circuit information security simulation method utilizing nonlinear differential equations. The method uses a fractional reactance approximation circuit to build a nonlinear differential operator. The model modifies the circuit impedance function in electronic information security to form a transfer function. Then with the help of this function, we build the block diagram of nonlinear differential equation simulation. Experimental research shows that the algorithm proposed in this paper is simple, and the amount of data is small. At the same time, the experiment also verifies the correctness and effectiveness of the processing method.