一类吸附动力学数学模型反问题的两个解的存在性

Pub Date : 2023-11-23 DOI:10.1134/s00122661230100105

A. M. Denisov, Zhu Dongqin

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摘要

摘要考虑了具有未知变量动力学系数的非线性吸附动力学数学模型的反问题。证明了反问题存在两个解的定理，并证明了求解反问题的迭代方法。最后给出了该方法在反问题数值解中的应用实例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Existence of Two Solutions of the Inverse Problem for a Mathematical Model of Sorption Dynamics

Abstract

The inverse problem for a nonlinear mathematical model of sorption dynamics with an unknown variable kinetic coefficient is considered. A theorem on the existence of two solutions of the inverse problem is proved, and an iterative method for solving it is justified. An example of the application of the proposed method to the numerical solution of the inverse problem is given.

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