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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 730804, 13 pages
Research Article

The Numerical Solution of the Bitsadze-Samarskii Nonlocal Boundary Value Problems with the Dirichlet-Neumann Condition

1Department of Mathematics, Fatih University, 34500 Istanbul, Turkey
2Department of Mathematics, International Turkmen-Turkish University, 74400 Ashgabat, Turkmenistan
3Department of Mathematics, Uludag University, 16059 Bursa, Turkey

Received 19 March 2012; Accepted 1 May 2012

Academic Editor: Valery Covachev

Copyright © 2012 Allaberen Ashyralyev and Elif Ozturk. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [5 citations]

The following is the list of published articles that have cited the current article.

  • Charyyar Ashyralyyev, and Mutlu Dedeturk, “Approximate Solution of Inverse Problem for Elliptic Equation with Overdetermination,” Abstract and Applied Analysis, vol. 2013, pp. 1–11, 2013. View at Publisher · View at Google Scholar
  • Svajūnas Sajavičius, “Radial basis function method for a multidimensional linear elliptic equation with nonlocal boundary conditions,” Computers & Mathematics with Applications, 2014. View at Publisher · View at Google Scholar
  • Allaberen Ashyralyev, and Elif Ozturk, “On a difference scheme of second order of accuracy for the Bitsadze-Samarskii type nonlocal boundary-value problem,” Boundary Value Problems, 2014. View at Publisher · View at Google Scholar
  • Moldir A Muratbekova, Kanat M Shinaliyev, and Batirkhan K Turmetov, “On solvability of a nonlocal problem for the Laplace equation with the fractional-order boundary operator,” Boundary Value Problems, vol. 2014, no. 1, pp. 29, 2014. View at Publisher · View at Google Scholar
  • Temur Jangveladze, Zurab Kiguradze, and George Lobjanidze, “Variational Statement and Domain Decomposition Algorithms for Bitsadze-Samarskii Nonlocal Boundary Value Problem for Poisson’s Two-Dimensional Equation,” International Journal of Partial Differential Equations, vol. 2014, pp. 1–8, 2014. View at Publisher · View at Google Scholar