Weather forecasting estimates future meteorological conditions from observations and physical models. Numerical models use an approximate initial condition and equations of fluid mechanics to simulate future conditions; forecasters also compare model outputs and apply experience and research.[ref]
https://www.weather.gov/rah/virtualtourforecast. National Weather Service, The forecast process
The forecast horizon describes how far ahead a prediction remains useful at a specified accuracy; sensitive dependence on initial conditions can limit detailed predictions under deterministic evolution. Articles by others on the same topic
Meteorology is the scientific study of the atmosphere and its various phenomena, particularly those related to weather and climate. It involves understanding and predicting atmospheric conditions, including temperature, humidity, precipitation, wind patterns, and pressure systems. Meteorologists use a range of tools and techniques, including satellite imagery, weather radars, computer models, and data analysis, to analyze atmospheric conditions and make forecasts. Meteorology plays a crucial role in daily life, impacting agriculture, transportation, disaster management, and many other fields.