Title Stability analysis of the Peaceman-Rachford method for parabolic equations with nonlocal conditions /
Authors Sapagovas, Mifodijus ; Novickij, Jurij ; Čiupaila, Regimantas
DOI 10.58997/ejde.2022.44
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Is Part of Electronic journal of diferential equations.. San Marcos : Texas State University. 2022, vol. 2022, no. 44, p. 1-15.. ISSN 1072-6691
Keywords [eng] nonlocal boundary conditions ; parabolic equations ; alternating direction method ; stability of finite difference scheme
Abstract [eng] We consider an efficient finite difference method solving of two-dimensional parabolic equations with nonlocal conditions. The specific feature of the investigated problem is that the nonlocal condition contains the values of solution's derivatives at different points. We prove the stability of this method in specific energy norm. The main stability condition is that all eigenvalues of the corresponding difference problem are positive. Results of computational experiments are presented.
Published San Marcos : Texas State University
Type Journal article
Language English
Publication date 2022
CC license CC license description