The problem solution of the digital modelling for the class of non-linear objects, characterized by the complex thermal physical structure is the aim of the paper as well as the development of an application package, oriented on the wide application to CAD and automated systems of scientific investigations. As a result the mathematical description for the class of non-linear objects with a complex structure has been obtained. The new approach to the disretization of three-dimensional objects has been realized as well as the new algorithm of the reordering of a unit structure. The new algorithm for the realization of a difference scheme of the finite difference method has been suggested. The methodology, based on analytical solutions of integral expressions for a matrix of thermal conduction and heat capacity has been also suggested. Application apckages for the modelling of electroheating processes have been created. The paper results may find their field of application in electrothermics and thermal treatmentAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio
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