Solution of initial-boundary value problem for heat equation with a discontinuous coefficient and general conjugation condition
Koilyshov U.K. Sadybekov M.A. Beisenbayeva K.A.
2025University of Nis
Filomat
2025#39Issue 237997 - 8005 pp.
In this paper the Sturm-type boundary value problem for the heat conduction equation with a discontinuous coefficient and with a general conjugation condition is solved using the Fourier method. The considered problem may arise when solving problems describing the process of particle diffusion in turbulent plasma, as well as when modeling the process of heat propagation of the temperature field in a thin rod of finite length, consisting of two sections with different thermophysical characteristics. In addition to the boundary conditions, general conjugation conditions are specified at the contact boundary of two media with different thermophysical characteristics. The existence and uniqueness of the classical solution to the studied problem is proved.
classical solution , Fourier method , Heat equation with discontinuous coefficients , non-self-adjoint problem , Riesz basis , spectral problem
Text of the article Перейти на текст статьи
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Al-Farabi Kazakh National University, Almaty, Kazakhstan
Academy of Logistics and Transport, Almaty, Kazakhstan
Institute of Mathematics and Mathematical Modeling
Al-Farabi Kazakh National University
Academy of Logistics and Transport
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026