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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 463746, 17 pages
http://dx.doi.org/10.1155/2012/463746
Research Article

Stability of Difference Schemes for Fractional Parabolic PDE with the Dirichlet-Neumann Conditions

Department of Mathematical Engineering, Gumushane University, 29100 Gumushane, Turkey

Received 25 March 2012; Accepted 3 April 2012

Academic Editor: Allaberen Ashyralyev

Copyright © 2012 Zafer Cakir. 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 [4 citations]

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

  • Allaberen Ashyralyev, and Zafer Cakir, “On the Numerical Solution of Fractional Parabolic Partial Differential Equations with the Dirichlet Condition,” Discrete Dynamics in Nature and Society, vol. 2012, pp. 1–15, 2012. View at Publisher · View at Google Scholar
  • Allaberen Ashyralyev, and Zafer Cakir, “FDM for fractional parabolic equations with the Neumann condition,” Advances in Difference Equations, vol. 2013, no. 1, pp. 120, 2013. View at Publisher · View at Google Scholar
  • Allaberen Ashyralyev, “Well-posedness of fractional parabolic equations,” Boundary Value Problems, vol. 2013, no. 1, pp. 31, 2013. View at Publisher · View at Google Scholar
  • Allaberen Ashyralyev, and Zafer Cakir, “r-Modified Crank-Nicholson difference scheme for fractional parabolic PDE,” Boundary Value Problems, vol. 2014, no. 1, pp. 76, 2014. View at Publisher · View at Google Scholar