The quasi-reversibility method for an inverse source problem for time-space fractional parabolic equations
Tác giả: Nguyen Van Duc, Nguyen Van Thang, Nguyen Trung Thanh
Journal of Differential Equations
Quyển: 344 Trang: 102-130
Năm xuất bản: 1/2023
Tóm tắt
`In this paper, we apply the quasi-reversibility method to solve an inverse source problem for a time-space fractional parabolic equation. Hölder-type error estimates for the regularized solutions are proved for both a priori and a posteriori regularization parameter choice rules. The theoretical error estimates are confirmed with numerical tests for one and two dimensional equations.
Từ khóa
Inverse source problems for time-space fractional parabolic equations, quasireversibility method, error estimates, numerical implementation
