Baleanu, DumitruTran Thanh PhongLe Dinh LongNguyen Duc Phuong2022-12-072025-09-182022-12-072025-09-182021Duc Phuong, Nguyen...et al. (2021). "Recovering the source term for parabolic equation with nonlocal integral condition", Mathematical Methods in the Applied Sciences, Vol. 44, No. 11, pp. 9026-9041.0170-42141099-1476https://doi.org/10.1002/mma.7331https://hdl.handle.net/20.500.12416/14777Phuong, Nguyen Duc/0000-0003-3779-197XThe main purpose of this article is to present a Tikhonov method to construct the source function f(x) of the parabolic diffusion equation. This problem is well known to be severely ill-posed. Therefore, regularization is required. The error estimates between the sought solution and the regularized solution are obtained under an a priori parameter choice rule and an a posteriori parameter choice rule, respectively. One numerical test illustrates that the proposed method is feasible and effective.eninfo:eu-repo/semantics/closedAccessConvergence EstimatesFractional Pseudo&#8208Parabolic ProblemIll&#8208Posed ProblemInverse ProblemArticle10.1002/mma.73312-s2.0-85103245951