Numerical approximation of solution of an inverse heat conduction problem based on Legendre polynomials

被引：23
|
作者：
Shidfar, A [1 ]
Pourgholi, R [1 ]
机构：
[1] Iran Univ Sci & Technol, Dept Math, Tehran 16, Iran
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 175卷 / 02期
关键词：
inverse heat conduction problem; existence; uniqueness; stability; Legendre polynomials;
D O I：
10.1016/j.amc.2005.08.040
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider an inverse heat conduction problem (IHCP). The given heat conduction equation, the boundary condition, and the initial condition are presented in a dimensionless form. A set of temperature measurements at a single sensor location inside the heat conduction body is required. Using a linear transformation, the ill-posed IHCP becomes a Cauchy problem. This problem will be solved by applying Legendre polynomials. Results show that an excellent estimation can be obtained within a couple of minutes CPU time at pentium IV-2.4 GHz PC. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：1366 / 1374
页数：9
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