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About AfterMath Live Software

Learn more about AfterMath Live here, including details about modules such as electrochemical simulation.

AfterMath Live Electrochemical Simulation Engine

The AfterMath Live electrochemical simulation engine employs a fast quasi-explicit finite difference (FQEFD) algorithm for semi-infinite linear diffusion utilizing an exponentially expanding space grid. Successive iterations during the simulation are updated using the DuFort-Frankel approach. This method has been found to give highly accurate results as compared to theory. More information about the history and development of electrochemical simulation algorithms can be found in the research publications and textbooks listed below.


  1. Feldberg, Stephen W. Optimization of explicit finite-difference simulation of electrochemical phenomena utilizing an exponentially expanded space grid: Refinement of the Joslin-Pletcher algorithm. J. Electroanal. Chem. Interfacial Chem. 1981, 127, 1-10.
  2. Feldberg, Stephen W. A fast quasi-explicit finite difference method for simulating electrochemical phenomena: Part I. Application to cyclic voltammetric problems. J. Electroanal. Chem. Interfacial Chem. 1990, 290, 49-65.
  3. Feldberg, Stephen W. Simulation of electrochemical systems 1962 to 2002, in Chapter 10 of Leddy, Johna., Birss, Viola., Vanýsek, P.. Historical Perspectives on the Evolution of Electrochemical Tools. United States: Electrochemical Society, 2004.
  4. Britz, Dieter H. and Jörg Strutwolf Digital simulation in electrochemistry: Fourth Edition. Springer. 2016.
  5. Bard, Allen J., Larry R. Faulkner, and Henry S. White. Electrochemical methods: fundamentals and applications. Third Edition, John Wiley & Sons, 2022, Appendix B.