Modified Strang splitting for semilinear parabolic problems
Numerical Analysis
2019-10-16 v1 Numerical Analysis
Abstract
We consider applying the Strang splitting to semilinear parabolic problems. The key ingredients of the Strang splitting are the decomposition of the equation into several parts and the computation of approximate solutions by combining the time evolution of each split equation. However, when the Dirichlet boundary condition is imposed, order reduction could occur due to the incompatibility of the split equations with the boundary condition. In this paper, to overcome the order reduction, a modified Strang splitting procedure is presented for the one-dimensional semilinear parabolic equation with first-order spatial derivatives, like the Burgers equation.
Cite
@article{arxiv.1910.06525,
title = {Modified Strang splitting for semilinear parabolic problems},
author = {Kosuke Nakano and Tomoya Kemmochi and Yuto Miyatake and Tomohiro Sogabe and Shao-Liang Zhang},
journal= {arXiv preprint arXiv:1910.06525},
year = {2019}
}