Application of the Greene function method for solving spatially one dimensional problems of the theory of electromagnetic radiation drying

An algorithm for constructing a new class of solutions to spatially one-dimensional problems in the theory of electromagnetic radiation drying has been developed. Its basis is the procedure for splitting the process by physical factors. In the framework of the proposed algorithm, the initial boundary value problems for the heat and moisture propagation equations are solved sequentially using the Fourier method using the Greene function apparatus on successive layers of the difference grid separated by small time intervals. The dependencies of the temperature and moisture content fields on time in such solutions are determined by the eigenvalues of the Sturm-Liouville problem, and the distributions of these fields in space are determined by the eigenfunctions of this problem. A comparison of the new calculation algorithm with known grid methods is made, and new possibilities for analysis that are opened in the drying theory due to this algorithm are indicated.