Stability of difference schemes for fractional parabolic PDE with the Dirichlet-Neumann conditions (Q448704)

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scientific article; zbMATH DE number 6078740
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Stability of difference schemes for fractional parabolic PDE with the Dirichlet-Neumann conditions
scientific article; zbMATH DE number 6078740

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    Stability of difference schemes for fractional parabolic PDE with the Dirichlet-Neumann conditions (English)
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    7 September 2012
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    Summary: The stable difference schemes for the fractional parabolic equation with Dirichlet and Neumann boundary conditions are presented. Stability estimates and almost coercive stability estimates with \(\ln(1/(\tau + |h|))\) for the solution of these difference schemes are obtained. A procedure of modified Gauss elimination method is used for solving these difference schemes of one-dimensional fractional parabolic partial differential equations.
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