Tuan, Nguyen HuyBaleanu, DumitruThach, Tran NgocO'Regan, DonalCan, Nguyen Huu2022-04-272022-04-272020Tuan, Nguyen Huy...et al. (2020). "Final value problem for nonlinear time fractional reaction–diffusion equation with discrete data", Journal of Computational and Applied Mathematics, Vol. 376.0377-0427http://hdl.handle.net/20.500.12416/5447In this paper, we study the problem of finding the solution of a multi-dimensional time fractional reaction–diffusion equation with nonlinear source from the final value data. We prove that the present problem is not well-posed. Then regularized problems are constructed using the truncated expansion method (in the case of two-dimensional) and the quasi-boundary value method (in the case of multi-dimensional). Finally, convergence rates of the regularized solutions are given and investigated numerically. © 2020 Elsevier B.V.eninfo:eu-repo/semantics/closedAccessBackward ProblemDiscrete DataFractional Reaction–Diffusion EquationNonlinear SourceRegularization MethodArticle37610.1016/j.cam.2020.112883