Stability analysis of the Peaceman-Rachford method for parabolic equations with nonlocal conditions
Peržiūrėti/ Atidaryti
Data
2022Autorius
Sapagovas, Mifodijus
Novickij, Jurij
Čiupaila, Regimantas
Metaduomenys
Rodyti detalų aprašąSantrauka
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.