An improved version of Junmeng–Fang–Weiming–Fusheng approximation for the temperature integral has been developed. The accuracy of the improved approximation for the temperature integral has been tested by some numerical analyses. The systematic analysis of the relative errors involved in the kinetic parameters obtained from Junmeng–Fang–Weiming–Fusheng integral method and its improved version has been also carried out. The results have shown that the improved approximation is more accurate than Junmeng–Fang–Weiming–Fusheng approximation as the solution of the temperature integral, and that more accurate kinetic parameters can be determined from the integral method based on the improved temperature integral approximation.
Similar content being viewed by others
References
Flynn J.H. (1997) Therm. Acta 300: 83–92
Junmeng C., Fang H., Weiming Y., Fusheng Y. (2006) Chem. Eng. J. 124: 15–18
Pérez-Maqueda L.A., Sánchez-Jiménez P.E., Criado J.M. (2005) Int. J. Chem. Kinet. 37: 658–666
Criado J.M., Pérez-Maqueda L.A., Sánchez-Jiménez P.E. (2005) J. Therm. Anal. Calorim. 82: 671–675
Vyazovkin S. (2006) Anal. Chem. 78: 3875–3886
Junmeng C., Fusheng Y., Weiming Y., Fang H. (2006) AIChE J. 52: 1554–1557
Urbanovici E., Popescu C., Segal E. (1999) J. Therm. Anal. Calorim. 55: 325–327
Wolfram S. (2003). The Mathematica Book, 5th ed. Wolfram Media Inc., USA
C. Junmeng and J. Liqun, J. Math. Chem. (2006) doi: 10.1007/s10910-006-9130-9.
Lewis R.M., Torczon V., Trosset M.W. (2000) J. Comput. Appl. Math. 124: 191–207
Rongzu H., Qizhen S. (2001). Thermal Analysis Kinetics (in Chinese). Science Press, Beijing
Ortega A., Pérez-Maqueda L.A., Criado J.M. (1996) Therm. Acta 282/283: 29–34
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Cai, J., Liu, R. An improved version of Junmeng–Fang–Weiming–Fusheng approximation for the temperature integral. J Math Chem 43, 1193–1198 (2008). https://doi.org/10.1007/s10910-007-9252-8
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10910-007-9252-8