2026-06-10T11:51:54Zhttps://riubu.ubu.es/oai/request

oai:riubu.ubu.es:10259/80802023-11-22T01:05:32Zcom_10259_6229com_10259_4534com_10259.4_106com_10259_2604col_10259_6230

Alonso Mallo, Isaías Cano, Begoña Reguera López, Nuria 2023-11-21T13:15:37Z 2023-11-21T13:15:37Z 2019-09 0377-0427 http://hdl.handle.net/10259/8080 10.1016/j.cam.2019.02.023 In this paper, we suggest a technique to avoid order reduction in time when integrating reaction–diffusion boundary value problems under non-homogeneous boundary conditions with exponential splitting methods. More precisely, we consider Lie–Trotter and Strang splitting methods and Dirichlet, Neumann and Robin boundary conditions. Beginning from an abstract framework in Banach spaces, a thorough error analysis after full discretization is performed and some numerical results are shown which corroborate the theoretical results. eng http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess Attribution-NonCommercial-NoDerivatives 4.0 Internacional Exponential splitting Order reduction Initial boundary value problem Avoiding order reduction when integrating reaction–diffusion boundary value problems with exponential splitting methods info:eu-repo/semantics/article