扩散方程反问题的正则化方法
Regularization Method for Inverse Problem of Diffusion Equation
摘要: 研究了从终端观测数据重构扩散方程中辐射系数问题的一种正则化方法。对于带有噪声数据的终端观测值，运用磨光化的正则化方法，得出重构问题近似解的误差估计以及收敛速率。
Abstract: A regularization method for reconstructing the radiation coefficient problem in the diffusion equation from the terminal observation data is studied. For the terminal observations with noise data, the error estimation and convergence rate of the approximate solution of the reconstruction problem are obtained by using the polished regularization method.
文章引用：王清艳. 扩散方程反问题的正则化方法[J]. 理论数学, 2024, 14(4): 98-106. https://doi.org/10.12677/pm.2024.144115

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