Positive and free energy satisfying schemes for diffusion with interaction potentials

30 Sep 2019 Liu Hailiang Maimaitiyiming Wumaier

In this paper, we design and analyze second order positive and free energy satisfying schemes for solving diffusion equations with interaction potentials. The semi-discrete scheme is shown to conserve mass, preserve solution positivity, and satisfy a discrete free energy dissipation law for nonuniform meshes... (read more)

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  • NUMERICAL ANALYSIS
  • NUMERICAL ANALYSIS