Avoiding order reduction when integrating diffusion-reaction boundary value problems with exponential splitting methods
Numerical Analysis
2017-05-05 v1
Abstract
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.
Cite
@article{arxiv.1705.01857,
title = {Avoiding order reduction when integrating diffusion-reaction boundary value problems with exponential splitting methods},
author = {Isaías Alonso-Mallo and Begoña Cano and Nuria Reguera},
journal= {arXiv preprint arXiv:1705.01857},
year = {2017}
}