Research on The Numerical Accuracy of Network Public Opinion Propagation Model Based on Runge-Kutta Method

Abstract

Abstract In a SIsIoR public opinion transmission model with discussion mechanism and emotional tendency of public opinion, government intervention is added to list the corresponding dynamic differential equation. It is found that there is no exact solution to the equation. Theoretically, the equation satisfies Routh-Hurwitz stability and Lipschitz continuity, and finally runs to the local equilibrium point. Explicit Euler method and 4th order Runge-Kutta method are used for numerical simulation, and the results are real and effective. By comparing the two methods, it is found that the numerical results of the fourth-order Runge-Kutta method are more accurate, and the iteration step size is shorter, which is more consistent with the theoretical expectation. This method is more suitable for the simulation of network public opinion dissemination, and has the advantages of stronger verifiability and higher numerical accuracy of the model. The simulation of network public opinion transmission based on Runge-Kutta method can provide reliable numerical basis for the guidance of public opinion under the environment of netizens’ emotional tendency, and provide scientific decision-making basis for the government to intervene in network public opinion transmission.