Central symmetric solution to the Neumann problem for a time-fractional diffusion-wave equation in a sphere

被引：15

作者：

Povstenko, Y. Z. ^{[1
]}

机构：

[1] Jan Dlugosz Univ Czestochowa, Inst Math & Comp Sci, PL-42200 Czestochowa, Poland

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2012年 / 13卷 / 03期

关键词：

Diffusion-wave equation; Non-Fourier heat conduction; Non-Fickean diffusion; Fractional calculus; Mittag-Leffler functions; HEAT-CONDUCTION EQUATION; FUNDAMENTAL-SOLUTIONS; RADIAL DIFFUSION; RANDOM-WALK; TRANSPORT;

D O I：

10.1016/j.nonrwa.2011.10.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a time-fractional central symmetric diffusion-wave equation is investigated in a sphere. Two types of Neumann boundary condition are considered: the mathematical condition with the prescribed boundary value of the normal derivative and the physical condition with the prescribed boundary value of the matter flux. Several examples of problems are solved using the Laplace integral transform with respect to time and the finite sin-Fourier transform of the special type with respect to the spatial coordinate. Numerical results are illustrated graphically. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1229 / 1238

页数：10

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