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arXiv:1105.2033 [math.NA]AbstractReferencesReviewsResources

Boundary value problems for the diffusion equation of the variable order in differential and difference settings

A. A. Alikhanov

Published 2011-05-10, updated 2012-11-21Version 2

Solutions of boundary value problems for a diffusion equation of fractional and variable order in differential and difference settings are studied. It is shown that the method of energy inequalities is applicable to obtaining a priori estimates for these problems exactly as in the classical case. The credibility of the obtained results is verified by performing numerical calculations for a test problem.

Comments: 19 pages. Presented at the 4-th IFAC Workshop on Fractional Differentiation and Its Applications, Badajoz, Spain, October 18-20, 2010
Journal: Applied Mathematics and Computation 219 (2012) 3938-3946
Categories: math.NA, math-ph, math.MP
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