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

References

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Published

2025-11-06

Issue

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

Section

Mathematical, computer modeling and computational methods

How to Cite

Numerical Optimization of a Pseudoparabolic Systems with Memory. (2025). MCIT: Proceedings of International Scientific and Practical Conference, 8, 198-201. https://doi.org/10.31713/MCIT.2025.061

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