Modified Douglas Splitting Methods for Reaction-Diffusion Equations
Numerical Analysis
2015-12-07 v1
Abstract
We present modifications of the second-order Douglas stabilizing corrections method, which is a splitting method based on the implicit trapezoidal rule. Inclusion of an explicit term in a forward Euler way is straightforward, but this will lower the order of convergence. In the modifications considered here, explicit terms are included in a second-order fashion. For these modified methods, results on linear stability and convergence are derived. Stability holds for important classes of reaction-diffusion equations, and for such problems the modified Douglas methods are seen to be often more efficient than related methods from the literature.
Cite
@article{arxiv.1512.01445,
title = {Modified Douglas Splitting Methods for Reaction-Diffusion Equations},
author = {A. Arraras and K. J. in't Hout and W. Hundsdorfer and L. Portero},
journal= {arXiv preprint arXiv:1512.01445},
year = {2015}
}