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Simultaneously Estimating the Two-sided Boundary Conditions in One-Dimensional Heat Conduction Problems

机译：同时估计一维导热问题的双面边界条件

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Traditionally, the process of solving inverse problems is to find the analysis results and use mathematical programming to improve the solutions. The present approach is to rearrange the matrix forms of differential governing equation and the estimated coefficients of unknown condition, which will appear as linear forms. Then, the linear least-squares method is employed to find the solution.

机译：传统上，解决逆问题的过程是找到分析结果并使用数学规划来改善解决方案。本方法是重新排列差分控制方程的矩阵形式和未知条件的估计系数，这将显示为线性形式。然后，采用线性最小二乘法来找到解决方案。

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《Int. Symposium on Heat Transfer》|1996年||共1页
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Chao-Kuang Chen; Pi-Fa Liu;
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中图分类传热学;
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1. SYSTEM OF GENERALIZED NONLINEAR BOUNDARY CONDITIONS OF A BOUNDARY-VALUE PROBLEM OF HEAT CONDUCTION FOR A LAYER UNDER TWO-SIDED LOCAL HIGH-TEMPERATURE DEPOSITION OF COATINGS [J] . O. P. Havrys Journal of Mathematical Sciences . 2012,第2期

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2. A self-adaptive LGSM to recover initial condition or heat source of one-dimensional heat conduction equation by using only minimal boundary thermal data [J] . Chein-Shan Liu International Journal of Heat and Mass Transfer . 2011,第7a8期

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3. Error estimates for the finite difference solution of the heat conduction equation: Consideration of boundary conditions and heat sources [J] . Davoudi M.M., ?chsner A. Diffusion and Defect Data. Solid State Data, Part A. Defect and Diffusion Forum . 2013,第Null期

机译：导热方程有限差分法的误差估计：考虑边界条件和热源
4. Simultaneously Estimating the Two-sided Boundary Conditions in One-Dimensional Heat Conduction Problems [C] . Chao-Kuang Chen, Pi-Fa Liu Int. Symposium on Heat Transfer;ISHT; 19961007-11;19961007-11; Beijing(CN);Beijing(CN) . 1996

机译：同时估计一维导热问题中的边界条件
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Simultaneously Estimating the Two-sided Boundary Conditions in One-Dimensional Heat Conduction Problems

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