Application of He's variational iteration method in nonlinear boundary value problems in enzyme- substrate reaction diffusion processes: Part 1. The steady-state amperometric response

Journal of Mathematical Chemistry

Volumn 44, Issue 3, 2008, Pages 849-861

  Rahamathunissa, G ^a   Rajendran, L ^a  

^a SMSV Higher Secondary School   (India)

Author keywords

Enzyme kinetics; Nonlinear equation; Reaction diffusion system; Variational iteration method

Indexed keywords

EID: 51849111104     PISSN: 02599791     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10910-007-9340-9     Document Type: Article

References (35)

1. M.E.G. Lyons J.C. Greer C.A. Fitzgerald T. Bannon P.N. Bartlett 1996 Analyst 121 715
2. M.E.G. Lyons T. Bannon G. Hinds S. Rebouillat 1998 Analyst 123 1947
3. A.R. Hillman, in Electrochemical Science and Technology of Polymers, ed. by R.G. Linford (Elsevier, Amsterdam, 1987), pp. 103-291
4. M.E.G. Lyons 1990 Electrochemistry novel interfaces and macromolecular electroactive systems. Ann. Rep. C. R. Soc. Chem. 87 119 171
5. M.E.G. Lyons, in Electroactive Polymer Electrochemistry: Part I, Fundamentals, ed. by M.E.G. Lyons (Plenum Press, New York, 1994), pp. 237-374
6. M.E.G. Lyons 1994 Analyst 119 805
7. G.P. Evans, in Advances in Electrochemical Science and Engineering, vol. 1, ed. by H. Gerisher, C.W. Tobias (VCH, Weinheim, 1990), pp. 1-74
8. S.A. Wring J.P. Hart 1992 Analyst 117 1215
9. C.P. Andrieux, J.M. Saveant, in Molecular Design of Electrode Surfaces, ed. by R.W. Murray. Techniques of Chemistry Series, vol. XXII (Wiley-Interscience, New York, 1992), pp. 207-270
10. W.J. Albery A.R. Hillman 1984 J. Electroanal. Chem. 170 27
11. W.J. Albery A.E.G. Cass Z.X. Shu 1990 Biosens. Bioelectron. 5 367
12. W.J. Albery A.E.G. Cass Z.X. Shu 1990 Biosens. Bioelectron. 5 379
13. W.J. Albery A.E.G. Cass Z.X. Shu 1990 Biosens. Bioelectron. 5 397
14. P.N. Bartlett P.R. Birkin E.N.K. Wallace 1997 J. Chem. Soc. Faraday Trans. 93 1951 1960
15. P.N. Bartlett J.W. Gardner 1996 Phil. Trans. R. Soc. Lond. A 354 35
16. G. Rahamathunissa, L. Rajendran, J. Theor. Comput. Chem. (2007) (in press)
17. Coely, A. (eds) et al.: Backlund and Darboux Tranformation. American Mathematical Society, Providence, RI (2001)
18. M. Wadati H. Sanuki K. Konno 1975 Prog. Theor. Phys. 53 419
19. C.S. Gardner J.M. Green M.D. Kruskal R.M. Miura 1967 Phys. Rev. Lett. 19 1095
20. R. Hirota 1971 Phys. Rev. Lett. 27 1192
21. W. Malfliet 1992 Am. J. Phys. 60 650
22. J.H. He 2007 J. Comput. Appl. Math. 207 3 and reference therein
23. S.-Q. Wang J.-H. He 2008 Chaos Solitons Fractals 35 4 688
24. J.H. He 1998 Comput. Methods Appl. Mech. Eng. 167 1-2 57
25. J.H. He 1999 Int. J. Nonlinear Mech. 34 4 699
26. J.H. He X.H. Wu 2006 Chaos Solitons Fractals 29 1 108
27. J.-H. He M.A. Abdou 2007 Chaos Solitons Fractals 34 5 1421
28. J.-H. He 2007 Chaos Solitons Fractals 34 5 1430
29. J.H. He 1997 Comm. Nonlinear Sci. Numer. Simulat. 2 4 230
30. J.H. He 2000 Appl. Math. Comput. 114 2, 3 115
31. V. Marinca 2002 Int. J. Nonlinear Sci. Numer. Simulat. 3 107
32. J.H. He 2007 J. Comput. Appl. Math. 207 1
33. A. Benyahia, S. Bacha, Numerical simulation of amperometric biosensors performances. Proceedings 16th European Simulation Symposium
34. C.V. Pao 1979 Nonlinear Anal. Theor. 4 2 369
35. R. Baronas F. Ivanauskas J. Kulys M. Sapagovas 2003 J. Math. Chem. 34 227