Numerical stability of the Saul'yev finite difference algorithms for electrochemical kinetic simulations: Matrix stability analysis for an example problem involving mixed boundary conditions
- 31 December 1995
- journal article
- Published by Elsevier in Computers & Chemistry
- Vol. 19 (4) , 357-370
- https://doi.org/10.1016/0097-8485(95)00047-v
Abstract
No abstract availableThis publication has 20 references indexed in Scilit:
- Numerical stability of finite difference algorithms for electrochemical kinetic simulations. Matrix stability analysis of the classic explicit, fully implicit and Crank-Nicolson methods, extended to the 3- and 4-point gradient approximation at the electrodesComputers & Chemistry, 1995
- Some numerical investigations of the stability of electrochemical digital simulation, particularly as affected by first-order homogeneous reactionsJournal of Electroanalytical Chemistry, 1994
- ELSIM—A PC program for electrochemical kinetic simulations. Version 2.0—solution of the sets of kinetic partial differential equations in one-dimensional geometry, using finite difference and orthogonal collocation methodsComputers & Chemistry, 1993
- Electrochemical kinetic simulations of mixed diffusion/homogeneous reaction problems by the Saul'yev finite difference algorithmsAnalytica Chimica Acta, 1993
- The von Neumann stability of finite-difference algorithms for the electrochemical kinetic simulation of diffusion coupled with homogeneous reactionsJournal of Electroanalytical Chemistry, 1993
- A method-oriented approach to the formulation of algorithms for electrochemical kinetic simulationsJournal of Electroanalytical Chemistry, 1992
- Accuracy contours in (nT, λ) space in electrochemical digital simulationsCollection of Czechoslovak Chemical Communications, 1991
- The Saul'yev method of digital simulation under derivative boundary conditionsAnalytica Chimica Acta, 1990
- The explicit solution of the equation of heat conductionThe Computer Journal, 1968
- On the Solution of the Diffusion Equations by Numerical MethodsJournal of Heat Transfer, 1966