A general method to remove the stiffness of PDEs
Computational Physics
2013-08-08 v1 Numerical Analysis
Abstract
A new method to remove the stiffness of partial differential equations is presented. Two terms are added to the right-hand-side of the PDE : the first is a damping term and is treated implicitly, the second is of the opposite sign and is treated explicitly. A criterion for absolute stability is found and the scheme is shown to be convergent. The method is applied with success to the mean curvature flow equation, the Kuramoto-Sivashinsky equation, and to the Rayleigh-Taylor instability in a Hele-Shaw cell, including the effect of surface tension.
Keywords
Cite
@article{arxiv.1308.1621,
title = {A general method to remove the stiffness of PDEs},
author = {Laurent Duchemin and Jens Eggers},
journal= {arXiv preprint arXiv:1308.1621},
year = {2013}
}