Presents first- and second-order structure-preserving finite difference schemes for the nonlinear Maxwell-Ampere Nernst-Planck equations that exactly conserve mass, positivity, energy dissipation, Gauss's law, and Faraday's law.
Computers and Mathematics with Applications 102, 95–112 (2021)
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Five-Structures Preserving Algorithm for charge dynamics model
Presents first- and second-order structure-preserving finite difference schemes for the nonlinear Maxwell-Ampere Nernst-Planck equations that exactly conserve mass, positivity, energy dissipation, Gauss's law, and Faraday's law.