Numerical Optimization of a Pseudoparabolic Systems with Memory

Authors

DOI:

https://doi.org/10.31713/MCIT.2025.061

Keywords:

Dirichlet problem, integro-differential equation, pseudoparabolic equation, Volterra operator, a priori estimates, generalized solutions, optimal control, numerical methods

Abstract

We employ the method of a priori inequalities in negative norms to prove the existence of a pointwise optimal control for the regularized problem corresponding to a time-nonlocal pseudoparabolic integro-differential equation with a Volterra-type integral term. Certain differential properties of the cost functional are investigated, and a numerical example illustrating the computation of the optimal control is presented.

Author Biography

Viktoria Nazarchuk, Taras Shevchenko National University of Kyiv

Faculty of Computer Science and Cybernetics

Department of Computational Mathematics

Masters student

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Published

2025-11-06

How to Cite

Anikushyn, A., & Nazarchuk, V. (2025). Numerical Optimization of a Pseudoparabolic Systems with Memory. Modeling, Control and Information Technologies: Proceedings of International Scientific and Practical Conference, (8), 198–201. https://doi.org/10.31713/MCIT.2025.061

Issue

No. 8 (2025): Modeling, control and information technologies: Proceedings of VIII International scientific and practical conference

Section

Mathematical, computer modeling and computational methods