Time fractional IHCP with Caputo fractional derivatives

被引：91
|
作者：
Murio, Diego A. [1 ]
机构：
[1] Univ Cincinnati, Dept Math Sci, Cincinnati, OH 45221 USA
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2008年 / 56卷 / 09期
关键词：
III-posed problems; Caputo fractional derivatives; Grunwald-Letnikov fractional derivatives; Time fractional inverse heat conduction problem; Finite differences; Mollification;
D O I：
10.1016/j.camwa.2008.05.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The numerical solution of the time fractional inverse heat conduction problem (TFIHCP) on a finite slab is investigated in the presence of measured (noisy) data when the time fractional derivative is interpreted in the sense of Caputo. A finite difference space marching scheme with adaptive regularization, using mollification techniques, is introduced. Error estimates are derived for the numerical solution of the mollified problem and several numerical examples of interest are provided. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2371 / 2381
页数：11
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