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首页> 外文期刊>Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology >The modified polynomial expansion method for solving the inverse heat source problems
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The modified polynomial expansion method for solving the inverse heat source problems

机译：求解热源逆问题的改进多项式展开法

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摘要

This article is aimed to reconstruct a time-dependent heat source for a one-dimensional heat conduction equation. The extra measurement data are used to transform the original equation into a homogeneous equation with three-point boundary conditions. Then the modified polynomial expansion method is developed to deal with the resulting three-point boundary-value problem. By considering the characteristic length, the modified polynomial expansion method can obtain a convergent series solution and improve the stability of the algorithm. The accuracy and efficiency of the present method are validated by comparing the estimating results with those of designed examples even under noisy measurement data.
机译：本文旨在为一维热传导方程重建时变热源。额外的测量数据用于将原始方程式转换为具有三点边界条件的齐次方程式。然后，开发了改进的多项式展开法来处理由此产生的三点边值问题。通过考虑特征长度，改进的多项式展开法可以获得收敛级数解，并提高了算法的稳定性。通过将估计结果与设计示例进行比较，即使在嘈杂的测量数据下，也可以验证本方法的准确性和效率。

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