Boundary-value problems for the heat conduction equation with a fractional derivative in the boundary conditions. Difference methods for numerical realization of these problems

• Date: 1993
• Main Authors: Berezovsky, A. A., Kerefov, A. A., Shkhanukov-Lafishev, M. Kh., Березовский, А. А., Керефов, А. А., Шхануков-Лафишев, М. Х.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1993
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5932
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Boundary-value problems for the heat conduction equation are considered in the case where the boundary conditions contain a fractional derivative. Problems of this type arise when the heat processes are simulated by a nonstationary heat flow by using the one-dimensional thermal model of a two-layer...