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.
App lied Numerical Mathematics 223, 255–278 (2026)
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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.