Stability analysis of the Peaceman-Rachford method for parabolic equations with nonlocal conditions
View/ Open
Date
2022Author
Sapagovas, Mifodijus
Novickij, Jurij
Čiupaila, Regimantas
Metadata
Show full item recordAbstract
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.