MODIFIED METHOD FOR SOLVING INVERSE PROBLEMS OF FORMATION OF MOLECULAR-MASS DISTRIBUTION UNDER INTERVAL CONDITIONS OF INITIAL EXPERIMENTAL DATA
Methods and algorithms are described that make it possible to study the kinetic heterogeneity of polymer products obtained in the presence of microheterogeneous catalytic systems. For the case of the interval nature of the initial experimental data obtained as a result of the performed gel chromatographic analysis, a modification of the method for solving the inverse problem of the formation of the molecular weight distribution was carried out. The new solution method is based on the idea of using a regularizing operator, proposed by A.N. Tikhonov, in conjunction with the interval formulation of the problem, formed from the results of the experiment. In the new formulation, the inverse problem of the formation of the molecular weight distribution is reduced to a linear programming problem, the numerical solution of which is obtained using the iterative simplex method. New methods and algorithms have been tested to determine the kinetic heterogeneity of 1,4-cis-polyisoprene obtained in the presence of a titanium catalyst.