The study analyzes coal consumption using the ECFGM(1, 1) model by utilizing time series data provided by the Statistical Review of World Energy for the years 2016-2019. The optimal α value, determined using the Brute Force Algorithm, is utilized to establish the model’s parameters and formulate the solution function. Subsequently, the model’s predictive accuracy is assessed using data from the years 2020-2022, with the resulting Mean Absolute Percentage Error (MAPE) reflecting the model’s overall performance.