A free energy satisfying finite difference method for Poisson-Nernst-Planck equations

Hailiang Liu, Zhongming Wang. A free energy satisfying finite difference method for Poisson-Nernst-Planck equations. J. Comput. Physics, 268:363-376, 2014. [doi]

@article{LiuW14-17,
  title = {A free energy satisfying finite difference method for Poisson-Nernst-Planck equations},
  author = {Hailiang Liu and Zhongming Wang},
  year = {2014},
  doi = {10.1016/j.jcp.2014.02.036},
  url = {http://dx.doi.org/10.1016/j.jcp.2014.02.036},
  researchr = {https://researchr.org/publication/LiuW14-17},
  cites = {0},
  citedby = {0},
  journal = {J. Comput. Physics},
  volume = {268},
  pages = {363-376},
}