RT info:eu-repo/semantics/article
T1 Avoiding order reduction when integrating reaction–diffusion boundary value problems with exponential splitting methods
A1 Alonso Mallo, Isaías
A1 Cano, Begoña
A1 Reguera López, Nuria
K1 Exponential splitting
K1 Order reduction
K1 Initial boundary value problem
K1 Matemáticas
K1 Mathematics
AB 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.
PB Elsevier
SN 0377-0427
YR 2019
FD 2019-09
LK http://hdl.handle.net/10259/8080
UL http://hdl.handle.net/10259/8080
LA eng
NO This work has been supported by Ministerio de Ciencia, Innovación y Universidades, FEDER, Spain and Junta de Castilla y León, Spain through projects MTM 2015-66837-P, VA024P17, VA041P17 and VA105G18.
DS Repositorio Institucional de la Universidad de Burgos
RD 09-may-2024