A fourth-order accurate, Numerov-type, three-point finite-difference discretization of electrochemical reaction-diffusion equations on nonuniform (exponentially expanding) spatial grids in one-dimensional space geometry

Journal of Computational Chemistry

Volumn 25, Issue 12, 2004, Pages 1515-1521

  Bieniasz, Lesław K ^a  

^a INSTITUTE OF PHYSICAL CHEMISTRY   (Poland)

Author keywords

Computational electrochemistry; Digital simulation; Electrochemical kinetics; Numerov method; Potential step chronoamperometry; Reaction diffusion

Indexed keywords

BOUNDARY VALUE PROBLEMS; COMPUTER SIMULATION; DIFFUSION; FINITE DIFFERENCE METHOD; MATHEMATICAL MODELS; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; REACTION KINETICS;

COMPUTATIONAL ELECTROCHEMISTRY; DIGITAL SIMULATION; ELECTROCHEMICAL KINETICS; NUMEROV METHOD; POTENTIAL STEP CHRONOAMPEROMETRY; REACTION-DIFFUSION;

ELECTROCHEMISTRY;

EID: 4043091393     PISSN: 01928651     EISSN: None     Source Type: Journal    
DOI: 10.1002/jcc.20075     Document Type: Article

References (29)

1. Britz, D. Digital Simulation in Electrochemistry; Springer: Berlin, 1988.
2. Speiser, B. Electroanal Chem 1996, 19, 1.
3. Bard, A. J.; Faulkner, L. R. Electrochemical Methods - Fundamentals and Applications; Wiley: New York, 1980.
4. Bieniasz, L. K. In Modern Aspects of Electrochemistry; Conway, B. E.; White, R. E., Eds. Kluwer/Plenum: New York, 2002, p. 135, Vol. 35.
5. Britz, D.; Strutwolf, J. Comput Chem 2000, 24, 673.
6. Strutwolf, J.; Britz, D. Comput Chem 2001, 25, 205.
7. Britz, D.; Østerby, O.; Strutwolf, J.; Koch Svennesen, T. Comput Chem 2002, 26, 97.
8. Britz, D.; Strutwolf, J. Comput Biol Chem 2003, 27, 327.
9. Bieniasz, L. K. Comput Chem 2002, 26, 633.
10. Bieniasz, L. K. J Comput Chem, 2004, 25, 1075.
11. Noumerov, B. V. Month Notices Roy Astronom Soc 1924, 84, 592.
12. Collatz, L. The Numerical Treatment of Differential Equations; Springer: Berlin, 1960.
13. Feldberg, S. W. J Electroanal Chem 1981, 127, 1.
14. Rudolph, M. J Electroanal Chem 2002, 529, 97.
15. Bieniasz, L. K. J Electroanal Chem 2003, 558, 167.
16. Chawla, M. M.; Katti, C. P. J Comput Appl Math 1980, 6, 189.
17. Bieniasz, L. K. J Electroanal Chem 1996, 406, 45.
18. Brenan, K. E.; Campbell, S. L.; Petzold, L. R. Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations; North-Holland: New York, 1989.
19. Hairer, E.; Wanner, G. Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems; Springer: Berlin, 1991.
20. Hindmarsh, A. C.; Petzold, L. R. Comput Phys 1995, 9, 148.
21. Bellman, R. E.; Kalaba, R. E. Quasilinearization and Nonlinear Boundary-Value Problems; American Elsevier: New York, 1965.
22. Fornberg, B. Math Comp 1988, 51, 699.
23. Britz, D. Electrochem Commun 2003, 5, 195.
24. Bieniasz, L. K. Comp Biol Chem 2003, 27, 315.
25. Strutwolf, J.; Schoeller, W. W. Electroanalysis 1997, 9, 1403.
26. Delahay, P.; Stiehl, G. L. J Am Chem Soc 1952, 74, 3500.
27. Miller, S. L. J Am Chem Soc 1952, 74, 4130.
28. Reinert, K. E.; Berg, H. Monatsber Deut Akad Wiss 1962, 4, 26.
29. Cody, W. J. Math Comp 1969, 23, 631.