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<p>A certain range of physical and mechanical problems does not allow for the use of classical treatment. Theoretical forecasting of the properties of new types of constructional materials is one of such problems. Due to the micro- or nanostructure of such materials one has to use molecular dynamics or non-classical approaches. The continuous approximation method is one of the latter. It implies extension of the continuum mechanics methods onto the microscale level and establishing the connection between microscale and macroscale properties of the material. When considering heat transfer in a solid, this method allows to take into account such effects as the finite speed of heat propagation and delay in the accumulation of heat, i.e. time nonlocality. Spatial nonlocality leads to a completely different type of the heat transfer equation - integro-differential equation. Due to the lack of software implementation of these kinds of models, especially for 2-D and 3-D cases, this work's objective was development of the algorithms for the numerical analysis of non-classical heat transfer models for their subsequent implementation within the OpenFOAM software package.</p><p>Approximation of the integral of the temperature distribution or its time derivative over the whole period of time is the main problem in case of heat transfer equation with time nonlocality. In case of the equation with spatial nonlocality, development of the algorithm for numerical solution of the integro-differential heat transfer equation is required. Its most important terms account for the mutual impact of all the parts of material without any limits. Different means of these terms' approximation are offered.</p><p>Several approaches for parallelization of the algorithms are described for the purpose of speeding up the computational process. Parallelization is done in a natural way for the model with time nonlocality. For the model with spatial nonlocality, the outlined means of arrangement of the computational process and communication between the nodes take into account the specifics of the integro-differential heat transfer equation.</p>