REGULARITY OF SOLUTIONS TO A TIME-FRACTIONAL DIFFUSION EQUATION

William McLean

Type: Article

Publication Date: 2010-10-01

Citations: 135

DOI: https://doi.org/10.1017/s1446181111000617

Abstract

Abstract We prove estimates for the partial derivatives of the solution to a time-fractional diffusion equation posed over a bounded spatial domain. Such estimates are needed for the analysis of effective numerical methods, particularly since the solution is typically less regular than in the familiar case of classical diffusion.

Locations

The ANZIAM Journal - View - PDF

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