- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 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 : 5 | Download : 1
Publication Date : 2021-09-30
Article Type : Research
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,