Digital simulations on unequally spaced grids. Part 3. Attaining exponential convergence for the discretisation error of the flux as a new strategy in digital simulations of electrochemical experiments

Journal of Electroanalytical Chemistry

Volumn 571, Issue 2, 2004, Pages 289-307

  Rudolph, Manfred ^a  

^a FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

Author keywords

Cylindrical electrode; Digital simulation; Exponential convergence for the flux discretisation error; Spherical electrode

Indexed keywords

COMPUTATIONAL METHODS; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; ELECTROCHEMICAL ELECTRODES; ERROR ANALYSIS; GRADIENT METHODS; MATHEMATICAL TRANSFORMATIONS; PARTIAL DIFFERENTIAL EQUATIONS;

CYLINDRICAL ELECTRODES; DIGITAL SIMULATION; EXPONENTIAL CONVERGENCE; FLUX DISCRETIZATION ERRORS; SPHERICAL ELECTRODES;

ELECTROCHEMISTRY;

EID: 4444361254     PISSN: 15726657     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jelechem.2004.05.017     Document Type: Article

References (17)

1. Britz D. Digital Simulation in Electrochemistry. 1988;Springer, Berlin.
2. Rudolph M. J. Electroanal. Chem. 529:2002;97.
3. Rudolph M. J. Electroanal. Chem. 543:2003;23.
4. Großmann Ch., Ross H.-G. Numerik partieller Differentialgleichungen. 1994;B.G. Teubner, Stuttgart.
5. Fichtenolz G.M. Differential- und Integralrechnung. 1972;VEB Verlag der Wissenschaften, Berlin.
6. P. Henrici, Applied and Computational Complex Analysis, vol. 2, Wiley, New York, 1985.
7. Mocak J., Feldberg S.W. J. Electroanal. Chem. 378:1994;31.
8. Rudolph M. Rubinstein I. Physical Electrochemistry: Principles, Methods, and Applications. 1995;81 Marcel Dekker, New York.
9. Rudolph M. J. Electroanal. Chem. 558:2003;171.
10. Nicholson R.S., Shain I. Anal. Chem. 36:1964;706.
11. Mathcad 2001, MathSoft, Inc., 101 Main Street, Cambridge, MA, USA.
12. The simulation package can be downloaded from http://www.DigiElch.de.
13. Amatore C.A., Fosset B. J. Electroanal. Chem. 328:1992;21.
14. Feldberg S.W., Auerbach C. Anal. Chem. 36:1964;505.
15. Arena J.V., Rusling J.F. Anal. Chem. 58:1986;1481.
16. Feldberg S.W. J. Electroanal. Chem. 127:1981;1.
17. Strutwolf J., Britz D. Computers Chem. 25:2001;205.