Numerical solution of the inverse problem for a model of sorption dynamics by the Newton–Kantorovich method

Recieved: 10/20/2024

Accepted: 11/17/2024

Published: 06/20/2025

Keywords: mathematical model of sorption dynamics, inverse problem, nonlinear operator equation, operator derivative, Newton–Kantorovich method

To cite this article

Zhu Dongqin Numerical solution of the inverse problem for a model of sorption dynamics by the Newton–Kantorovich method. // Moscow University Journal. Series 15. Computational Mathematics and Cybernetics. 2025. N 2, p.83-90 https://doi.org/10.55959/MSU/0137–0782–15–2025–49–2–83–90.

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Zhu Dongqin (Lomonosov Moscow State University (MSU))

Abstract

The author considers an inverse coefficient problem for a model of sorption dynamics. The inverse problem is reduced to a nonlinear operator equation for an unknown coefficient. The differentiability of the nonlinear operator is proved. The Newton–Kantorovich method and the modified Newton–Kantorovich method are constructed for the numerical solution of the inverse problem. The results of numerical calculations are presented.