Attaining exponential convergence for the flux error with second- and fourth-order accurate finite-difference equations. II. Application to systems comprising first-order chemical reactions

Journal of Computational Chemistry

Volumn 26, Issue 6, 2005, Pages 633-641

  Rudolph, Manfred ^a  

^a FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

Author keywords

Digital simulation; Exponential convergence of the flux error; First order chemical reactions; Fourth order accurate spatial discretization

Indexed keywords

COMPUTER SIMULATION; DIFFERENCE EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; ELECTRODES; FINITE DIFFERENCE METHOD; FOURIER TRANSFORMS; MATHEMATICAL MODELS; REACTION KINETICS;

DIGITAL SIMULATION; EXPONENTIAL CONVERGENCE OF THE FLUX ERROR; FIRST ORDER CHEMICAL REACTIONS; FOURTH ORDER ACCURATE SPATIAL DISCRETIZATION;

FLUXES;

EID: 17644390595     PISSN: 01928651     EISSN: None     Source Type: Journal    
DOI: 10.1002/jcc.20201     Document Type: Article

References (15)

1. Rudolph, M. J Comput Chem 2005, 26, 633.
2. Britz, D.; Strutwolf, J. Comput Chem 2000, 24, 673.
3. Strutwolf, J.; Britz, D. Comput Chem 2001, 25, 205.
4. Britz, D.; Strutwolf, J. Comput Biol Chem 2003, 27, 327.
5. Bieniasz, L. K. J Comput Chem 2004, 25, 1515.
6. Rudolph, M. J Electroanal Chem 2003, 543, 23.
7. Rudolph, M. J Electroanal Chem 2004, 571, 289.
8. Rudolph, M. In Physical Electrochemistry: Principles, Methods, and Applications; Rubinstein, I., Ed.; Marcel Dekker. New York, 1995, p. 81.
9. Bard, A. J.; Faulkner, L. R. Electrochemical Methods. Fundamentals and Applications; John Wiley & Sons: New York, 2001, 2nd ed.
10. Dietrich, G.; Stahl, H. Matrizen: VEB Fachbuchverlag Leipzig, 1973.
11. Savéant, J.-M.; Vianello, E. Electrochim Acta 1965, 10, 905.
12. Delahay, P.; Stiehl, G. L. J Am Chem Soc 1952, 74, 3500.
13. Miller, S. L. J Am Chem Soc 1952, 74, 4130.
14. Britz, D. Digital Simulation in Electrochemistry; Springer: Berlin, 1988.
15. Vetter, K. Elektrochemische Kinetik; Springer: Berlin, 1961.