Urban Smart Growth Mathematical Model and Application

In view of urban sprawl brought about by urbanization development, this paper establishes a weighted comprehensive evaluation model to measure the city’s smart growth status. Bordeaux is selected as the research object, and relevant data are collected and processed. The data is then substituted into the established model to solve the problem. The results show that some indicators in the city are still at a poor level. Combining the indicators with higher weights and lower scores in the evaluation results, a better urban smart growth plan was proposed. Finally, the ARIMA forecasting model is used to predict the indicators in the future more than ten years. The results verify the effectiveness of the urban smart growth plan and the potential of the plans.