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

• Datum: 1997
• Hauptverfasser: Berezovsky, A. A., Mitropolskiy, Yu. A., Shkhanukov-Lafishev, M. Kh., Березовский, А. А., Митропольский, Ю. А., Шхануков-Лафишев, М. Х.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1997
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5001
• Назва журналу: 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...