Air pollution is greatly influenced by the emissions generated by automotive engines, making it a pressing concern. To address this issue, a considerable amount of research is currently devoted to recovering waste heat from these engines. To achieve this specific objective, a gamma-type Stirling engine has been meticulously chosen. This study focuses on elucidating a new isothermal method, which provides an effective means for analyzing Stirling engines. By employing the powerful MATLAB software, a set of differential equations is proficiently solved. Remarkably, the simulation results obtained from this computational approach closely align with the experimental data, indicating the accuracy and reliability of the methodology. Furthermore, this research delves into the feasibility of employing the Stirling engine as a Combined Cooling Heating and Power (CCHP) system, shedding light on its potential applications in various domains