Numerical approximation of solution of an inverse heat conduction problem based on Legendre polynomials
Numerical approximation of solution of an inverse heat conduction problem based on Legendre polynomials
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DOI：
10.1016/j.amc.2005.08.040
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发表时间：
2006-04
期刊：
影响因子：
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通讯作者：
A. Shidfar;R. Pourgholi
中科院分区：
文献类型：
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作者：
A. Shidfar;R. Pourgholi
本文考虑了一个热传导反问题。给定的热传导方程，边界条件，和初始条件是在一个无量纲的形式。需要在导热体内部的单个传感器位置处进行一组温度测量。利用线性变换，不适定的IHCP变成柯西问题。这个问题将通过应用勒让德多项式来解决。结果表明，在p2.4GHz的PC机上，在几分钟的CPU时间内就可以得到一个很好的估计。
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-2.4GHz PC.