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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/(τ + |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.

Suggested Citation

  • Zafer Cakir, 2012. "Stability of Difference Schemes for Fractional Parabolic PDE with the Dirichlet‐Neumann Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:463746
    DOI: 10.1155/2012/463746
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    References listed on IDEAS

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    1. Aleksandr A. Samarskii & Evgenii S. Nikolaev, 1989. "Numerical Methods for Grid Equations," Springer Books, Springer, number 978-3-0348-9142-4, March.
    2. Aleksandr A. Samarskii & Evgenii S. Nikolaev, 1989. "Numerical Methods for Grid Equations," Springer Books, Springer, number 978-3-0348-9272-8, March.
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