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In this paper, we suggest a technique to avoid order reduction in time whenintegrating reaction-diffusion boundary value problems under non-homogeneousboundary conditions with exponential splitting methods. More precisely, weconsider Lie-Trotter and Strang splitting methods and Dirichlet, Neumann andRobin boundary conditions. Beginning from an abstract framework in Banachspaces, a thorough error analysis after full discretization is performed andsome numerical results are shown which corroborate the theoretical results.

Avoiding order reduction when integrating diffusion-reaction boundary value problems with exponential splitting methods