Abstract
Abstract The tasks of improving energy efficiency are one of the main parts of the project in the process of its implementation. The present paper discusses methods of mathematical modeling of heat transferring processes taking into account climatic factors of the city of Turkestan of the Republic of Kazakhstan. Using a one-dimensional model of the equations of heat conduction, a nonlinear equation is compiled regarding the temperature of the material on an open surface. Methods for solving the nonlinear equation are applied, numerical calculations are carried out. The accuracy of the obtained mathematical methods should increase with the use of computer modeling and the improvement of mathematical devices of calculations, which requires further study of the obtained calculations. The results of numerical calculations are presented in graphical form. The analysis of various modeling methods helps in choosing the right solutions for a particular case. Nowadays, environmental problems, climate change, more than ever, require modern tools and technologies to improve the energy efficiency of buildings, such as energy modeling, mathematical modeling of the microclimate.