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《Mathematics in Practice and Theory》 2018-18
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A modified Tikhonov Regularization Method for the Solution of Fredholm Equations of the First Kind

GUO Jia-qiao;ZHANG Xin-ming;MA Ling;School of Science, Harbin Institute of Technology(Shenzhen);  
In this work, based on the singular system of compact operator, a new regularizing filter function and a modified Tikhonov regularization method for the solution of Fredholm equation of the first kind were constructed. The convergence and the optimal asymptotic order of the regularized solution are proved. The numerical results demonstrate the effectiveness and the superiority of the modified Tikhonov regularization method.
【Fund】: 广东省自然科学基金(2017A030313280)
【CateGory Index】: O175.5
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