The paper presents a research analysis of finite difference methods for the numerical solution of equations describing traffic flow on the example of the Lighthill–Whitham–Richards (LWR) model. The authors presented the main stages of finite difference methods, including the discretization of spatial and temporal variables and various types of finite differences. The authors analyzed different types of problems (the initial value problem and the boundary value problem) and methods for their solution. Additionally, the authors described how data on road traffic on the Tashkent Ring Road was collected using video detectors and general traffic characteristics. The results of numerical modeling of traffic flow based on the collected data and analysis of its effectiveness are presented. As a result, the authors confirmed the effectiveness of using finite difference methods for modeling traffic flow. The results also indicate the importance of vehicle speed in changing traffic density and show that density decreases rapidly as speed increases.