Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2012, Special Issue (2012), Article ID 454831, 22 pages.
FDM for Elliptic Equations with Bitsadze-Samarskii-Dirichlet Conditions
A numerical method is proposed for solving nonlocal boundary value problem for the multidimensional elliptic partial differential equation with the Bitsadze-Samarskii-Dirichlet condition. The first and second-orders of accuracy stable difference schemes for the approximate solution of this nonlocal boundary value problem are presented. The stability estimates, coercivity, and almost coercivity inequalities for solution of these schemes are established. The theoretical statements for the solutions of these nonlocal elliptic problems are supported by results of numerical examples.
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 454831, 22 pages.
First available in Project Euclid: 5 April 2013
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Ashyralyev, Allaberen; Ozesenli Tetikoglu, Fatma Songul. FDM for Elliptic Equations with Bitsadze-Samarskii-Dirichlet Conditions. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 454831, 22 pages. doi:10.1155/2012/454831. https://projecteuclid.org/euclid.aaa/1365174075