FRACTIONAL DIFFUSION ON BOUNDED DOMAINS

被引：78

作者：

Defterli, Ozlem ^{[1
,2
]}

D'Elia, Marta ^{[3
]}

Du, Qiang ^{[4
,5
]}

Gunzburger, Max ^{[6
]}

Lehoucq, Rich ^{[7
]}

Meerschaert, Mark M. ^{[1
]}

机构：

[1] Michigan State Univ, Dept Stat & Probabil, E Lansing, MI 48824 USA

[2] Ankaya Univ, Dept Math & Comp Sci, TR-06790 Ankara, Turkey

[3] Sandia Natl Labs, Optimizat & Uncertainty Quantificat, Albuquerque, NM 87123 USA

[4] Columbia Univ, Fu Fdn Sch Engn & Appl Sci, Dept Appl Phys & Appl Math, New York, NY 10027 USA

[5] Penn State Univ, Dept Math, University Pk, PA 16802 USA

[6] Florida State Univ, Dept Comp Sci, Tallahassee, FL 32309 USA

[7] Sandia Natl Labs, Computat Math, Albuquerque, NM 87123 USA

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2015年 / 18卷 / 02期

基金：

美国国家科学基金会;

关键词：

fractional diffusion; boundary value problem; nonlocal diffusion; well-posed equation; FINITE-DIFFERENCE APPROXIMATIONS; VOLUME-CONSTRAINED PROBLEMS; NONLOCAL DIFFUSION; NUMERICAL-SOLUTION; VECTOR CALCULUS; DISPERSION; EQUATIONS;

D O I：

10.1515/fca-2015-0023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：342 / 360

页数：19

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