Allaberen Ashyralyev, Nazar Emirov, Zafer Cakir
Abstract:
We study initial-boundary value problems for fractional
parabolic equations with the Dirichlet-Neumann conditions.
We obtain a stable difference schemes for this problem, and
obtain theorems on coercive stability estimates for the
solution of the first order of accuracy difference scheme.
A procedure of modified Gauss elimination method is
applied for the solution of the first and second order of accuracy
difference schemes of one-dimensional fractional parabolic
differential equations.
Submitted December 26, 2013. Published April 10, 2014.
Math Subject Classifications: 35R11, 35B35, 47B39, 47B48.
Key Words: Fractional parabolic equations; Dirichlet-Neumann conditions;
positive operator; difference schemes; stability.
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Allaberen Ashyralyev Department of Mathematics, Fatih University Buyukcekmece, Istanbul, Turkey email: aashyr@fatih.edu.tr |
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Nazar Emirov Department of Mathematics, Fatih University Buyukcekmece, Istanbul, Turkey email: nazaremirov@gmail.com |
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Zafer Cakir Department of Mathematical Engineering Gumushane University, Gumushane, Turkey email: zafer@gumushane.edu.tr |
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