On the Numerical Solution of Fractional Parabolic Partial Differential Equations with the Dirichlet Condition

Allaberen Ashyralyev and Zafer Cakir

Discrete Dynamics in Nature and Society, 2012, vol. 2012, 1-15

Abstract:

The first and second order of accuracy stable difference schemes for the numerical solution of the mixed problem for the fractional parabolic equation are presented. Stability and almost coercive stability estimates for the solution of these difference schemes are obtained. A procedure of modified Gauss elimination method is used for solving these difference schemes in the case of one-dimensional fractional parabolic partial differential equations.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:696179

DOI: 10.1155/2012/696179

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