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

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  • Zafer Cakir

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.

Suggested Citation

  • Zafer Cakir, 2012. "Stability of Difference Schemes for Fractional Parabolic PDE with the Dirichlet-Neumann Conditions," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-17, July.
    • Handle: RePEc:hin:jnlaaa:463746
    DOI: 10.1155/2012/463746
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