Abstract
In this paper, the dynamical systems method (DSM) for solving the first kind of operator equations with noise in the right-hand data is studied. The convergence of the discrete form of DSM is proved, and then the convergence rate of the approximate solution is obtained under certain prior assumption. The experimental results of first kind of Fredholm integral equations show that DSM is more accurate and faster than Tikhonov regularization method.
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Cheng-Shun, J., Xian-Chao, W. (2011). Dynamical Systems Method for Solving First Kind of Operator Equations with Disturbance Item. In: Liu, C., Chang, J., Yang, A. (eds) Information Computing and Applications. ICICA 2011. Communications in Computer and Information Science, vol 243. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27503-6_8
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DOI: https://doi.org/10.1007/978-3-642-27503-6_8
Publisher Name: Springer, Berlin, Heidelberg
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