Most developing countries now seek to create an efficient and accurate pavement maintenance system based on computer software to maximize efficiency and economic savings from the huge budgets spent on the road sector. Analysis of pavements is a very important issue that is of great importance today in view of the expansion of the road construction industry. So far, different methods have been proposed to analyze the types of pavements. Gradually, with the introduction of the standard format for flexible pavements, the use of computer programs in numerical analysis and design of pavements, to spend less time on calculations and more detailed examination by engineers, has received special attention and has become commonplace. Software that uses layer theory to analyze soil behavior and calculate stresses and displacements. One of the most important issues in pavement design is the analysis of displacement response, stress and strain due to moment loads on the pavement surface. Today, studies have often considered the pavement behavior to be elastic, while the asphalt layer on the pavement surface has a viscoelastic behavior. In this research, in addition to elastic behavior, flexible pavement with viscoelastic behavior under the effect of moving the wheel of the vehicle is also investigated. In the present study, after solving the relevant equations and applying the combined method of Bessel and Fourier transform and simulation in MATLAB software environment, the pavement response in multilayer systems under different loading conditions was investigated and analyzed. In order to validate the written solution and program method, the results were compared with the results of other articles and references. These comparisons indicate the high compliance of this method with the real state of the problem. In addition, the effect of important parameters such as vehicle weight, tire width, vehicle speed, material and thickness of the asphalt layer on the stress, strain and di