Nonlinear nonlocal problems for a parabolic equation in a two-dimensional domain

• Date: 1997
• Main Authors: Berezovsky, A. A., Mitropolskiy, Yu. A., Shkhanukov-Lafishev, M. Kh., Березовский, А. А., Митропольский, Ю. А., Шхануков-Лафишев, М. Х.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1997
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5001
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We establish the convergence of the Rothe method for a parabolic equation with nonlocal boundary conditions and obtain an a priori estimate for the constructed difference scheme in the grid norm on a ball. We prove that the suggested iterative process for the solution of the posed problem converges...