Fractional Diffusion on Bounded Domains-Reference-Cited by-同舟云学术

Fractional Diffusion on Bounded Domains

Published:2015-03-13 Issue:2 Volume:18 Page:342-360
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Defterli Ozlem¹²,D’Elia Marta³,Du Qiang⁴⁵,Gunzburger Max⁶,Lehoucq Rich⁷,Meerschaert Mark M.¹

Affiliation:

1. Department of Statistics and Probability Michigan State University East Lansing, MI 48824, USA

2. Department of Mathematics and Computer Science Çankaya University TR-06790 Ankara, TURKEY

3. Optimization and Uncertainty Quantification Sandia National Laboratories Albuquerque, NM 87123, USA

4. Department of Applied Physics and Applied Mathematics Fu Foundation School of Engineering and Applied Sciences Columbia University, New York, NY 10027, USA

5. Department of Mathematics Pennsylvania State University University Park, PA 16802, USA

6. Department of Scientific Computing Florida State University Tallahassee, FL 32309, USA

7. Computational Mathematics Sandia National Laboratories Albuquerque, NM 87123, USA

Abstract

Abstract The mathematically correct specification of a fractional differential equation on a bounded domain requires specification of appropriate boundary conditions, or their fractional analogue. This paper discusses the application of nonlocal diffusion theory to specify well-posed fractional diffusion equations on bounded domains.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2015-0023/pdf

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