Solving a backward heat conduction problem by variational method

doi:10.1016/j.amc.2012.06.052

2012-10-01

PRE

Chu‐Li Fu *

张远祥 (Yuanxiang Zhang)

DOI：10.1016/j.amc.2012.06.052

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摘要

En 中文

The present paper is devoted to solve the backward heat conduction problem from the final temperature distribution. The problem is transformed into an optimization problem and then a variational method is given. A conjugate gradient method together with an appropriate stopping rule are used to solve this inverse problem. Several numerical examples are provided to show the high efficiency of the suggested method. (C) 2012 Elsevier Inc. All rights reserved.

Keyword:

Backward heat conduction

Ill-posed problem

Variational method

Conjugate gradient method

期刊

Applied Mathematics and Computation

IF:

3.4

论文数:

2.3W

被引数:

3.3W

机构

lanzhou university

学者数:

4.2W

论文数: 2.6W

被引数: 27

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