Time-dependent inverse source problems for a pseudoparabolic equation with memory
Khompysh K. Huntul M.J. Mukhambetkaliyev M.
15 November 2025Elsevier Ltd
Computers and Mathematics with Applications
2025#198239 - 254 pp.
In this paper, we deal with two inverse source problems for a pseudoparabolic equation with memory term, which in general, have important applications in various fields of science and technology such as non-Newtonian fluids, filtration, population dynamics, plasma physic, et al. However, the presence of certain additional terms in a system usually causes specific complications in mathematical point of view, both in analytical and numerical analysis, although they characterize important physical properties of media. The studied inverse problems consist of recovering a time-dependent source parameter under two types of integral overdetermination conditions. We establish the existence, uniqueness, and stability of strong solutions under suitable conditions on the data and explore numerical solutions by creating numerical algorithms and testing examples.
Existence and uniqueness , Inverse problem , Memory term , Numerical solutions , Pseudo-parabolic equations
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Al-Farabi Kazakh National University, Al-Farabi av. 71, Almaty, 050040, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Pushkina, 125, Almaty, 050010, Kazakhstan
Department of Mathematics, Faculty of Science, Jazan University, Jazan, 45142, Saudi Arabia
Al-Farabi Kazakh National University
Institute of Mathematics and Mathematical Modeling
Department of Mathematics
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026