<p>This article presents the results of developing a method for mathematical modeling of heat transfer in a porous medium with an ordered macrostructure. The boundary value problem of heating a plate made of a porous material based on I-WP triply periodic surfaces of minimum energy is considered. Using the developed method, an approximate analytical solution to the formulated problem is obtained. When determining the temperature, computational “homogenization” of the porous medium was carried out, which makes it possible to average the physical properties within the object under consideration. The desired temperature function is presented in the form of a trigonometric series. The paper shows that an increase in the accuracy of the solution can be achieved by increasing the number of additional boundary characteristics of the boundary value problem. For example, in the second approximation, the discrepancy between the approximate analytical solution and the numerical one (in the studied time range) does not exceed 5%. The convergence of the method was assessed based on the analysis of the residuals of the equation and boundary conditions, as well as by comparing the obtained approximate solutions with numerical ones.</p>