About building a basis surface in inverse kinetic problems for non-break processes of diene polymerization

The work contains a mathematical description of diene polymerization with a neodym-based Ziegler-Natta catalysts. The resulting system of differential equations was reduced from infinite to finite by the method of moments. For this, the basis of nonlinear parametric functions was searched with a met...

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Bibliographic Details
Published in:Journal of physics. Conference series 2021-05, Vol.1902 (1), p.12109
Main Authors: Gizzatova, E R, Ismagilova, A S, Podvalny, S L
Format: Article
Language:English
Subjects:
Differential equations
Method of moments
Physics
Polymerization
Ziegler-Natta catalysts
Citations: Items that this one cites
Online Access:Get full text
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Summary:The work contains a mathematical description of diene polymerization with a neodym-based Ziegler-Natta catalysts. The resulting system of differential equations was reduced from infinite to finite by the method of moments. For this, the basis of nonlinear parametric functions was searched with a method allowing obtain expressions that reflect the kinetics of the polymerization process. The obtained basis of two functions enables us to construct a surface containing local regions of the minimum of the objective function which define the starting points for search of optimum kinetic constant values.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1902/1/012109