Regularization method for the problem of determining the source function using integral conditions

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Advances in the Theory of Nonlinear Analysis and its Application
Volume:5 Issue:3
Regularization method for the problem of determining the source function using integral conditions

Regularization method for the problem of determining the source function using integral conditions

Authors : Bui NGHİA, Nguyen LUC, Ho BİNH, Le Dinh LONG

Pages : 351-361

Doi:10.31197/atnaa.933212

View : 12 | Download : 5

Publication Date : 2021-09-30

Article Type : Research Paper

Abstract :In this article, we deal with the inverse problem of identifying the unknown source of the time-fractional diffusion equation in a cylinder equation by A fractional Landweber method. This problem is ill-posed. Therefore, the regularization is required. The main result of this article is the error between the sought solution and its regularized under the selection of a priori parameter choice rule.
Keywords : Source problem, Fractional pseudo parabolic problem, Ill posed problem, Convergence estimates, Regularization, Ill posed problem, Convergence estimates, Regularization, Convergence estimates,

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