In this paper, we study the inverse problem of identifying unknown sources for nonhomogeneous Biharmonic Equations in bounded domain. It shows that the problem is ill-posed. We use Landweber iterative regularization method to recover the ill-posed solution and give the convergence estimates under the priori and posteriori regularization parameter selection rules. Finally, several numerical examples are given to show the effectiveness and stability of this method.

中文翻译：

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识别双调和方程未知源的Landweber迭代正则化方法

在本文中，我们研究了在有界域中识别非齐次双调和方程未知源的逆问题。这表明问题是不适定的。我们使用Landweber迭代正则化方法来恢复不适定解，并在先验和后验正则化参数选择规则下给出收敛估计。最后给出了几个数值例子来说明该方法的有效性和稳定性。