Geodesic
Inverse problems of formation for the molecular-weight distribution in polymerization processes
Numerical methods and programming, Tome 7 (2006) no. 4, pp. 294-299

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A stable numerical method for solving the inverse problem of finding the distribution of macromolecules of various length in a polymer is proposed on the basis of an analysis of experimental curves obtained for the molecular-weight distribution. An integral Fredholm equation of the first kind with a kernel in the form of the Flory distribution function is considered. The problem of determining the molecular-weight distribution in the process of ion-coordination isoprene polymerization is discussed. A bimodal model for this process is proposed. The kinetic characteristics of each of the two active sites appearing during the isoprene polymerization are specified.
Keywords: inverse problems, molecular-weight distribution, Fredholm equations of the first kind, integral equations, regularization method, isoprene polymerization. 
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     title = {Inverse problems of formation for the molecular-weight distribution in polymerization processes},
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     url = {http://geodesic.mathdoc.fr/item/VMP_2006_7_4_a0/}
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T. S. Usmanov; A. S. Usmanov; S. M. Usmanov; A. G. Yagola. Inverse problems of formation for the molecular-weight distribution in polymerization processes. Numerical methods and programming, Tome 7 (2006) no. 4, pp. 294-299. http://geodesic.mathdoc.fr/item/VMP_2006_7_4_a0/