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

Zafer Cakir

Abstract and Applied Analysis, 2012, vol. 2012, 1-17

Abstract:

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 / ( ð œ + | â„Ž | ) ) 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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:463746

DOI: 10.1155/2012/463746

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