Triet, Nguyen AnhBinh, Tran ThanhPhuong, Nguyen DucBaleanu, DumitruCan, Nguyen Huu2022-12-072022-12-072021Triet, Nguyen Anh...et al. (2021). "Recovering the initial value for a system of nonlocal diffusion equations with random noise on the measurements", Mathematical Methods in the Applied Sciences, Vol. 44, No. 6, pp. 5188-5209.0170-4214http://hdl.handle.net/20.500.12416/5961In this work, we study the final value problem for a system of parabolic diffusion equations. In which, the final value functions are derived from a random model. This problem is severely ill-posed in the sense of Hadamard. By nonparametric estimation and truncation methods, we offer a new regularized solution. We also investigate an estimate of the error and a convergence rate between a mild solution and its regularized solutions. Finally, some numerical experiments are constructed to confirm the efficiency of the proposed method.eninfo:eu-repo/semantics/closedAccessIll-Posed ProblemNonlocal DiffusionRandom NoiseRegularized SolutionArticle4465188520910.1002/mma.7102