Articles & Issues

Language: English

Conflict of Interest: In relation to this article, we declare that there is no conflict of interest.

This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

All issues

Application of Higher-order Discretization to Parametric Dependence of Partial Differential Equations Describing Tubular Flow Reactors

Sang Hwan Kim^† Yong-Jae Kwon

Department of Chemical Engineering, Konkuk University, Seoul 143-701, Korea

sanghkim@kkucc.konkuk.ac.kr

Korean Journal of Chemical Engineering, January 2000, 17(1), 67-70(4), 10.1007/BF02789255

Download PDF

Abstract

The higher-order discretization for determining the parametric dependence in partial differential equations of diffusion-convection-reaction type is described. For approximation of space differential operators, the Stormer-Numerov formula with the O(h⁴) accuracy is used. This method turns out to be useful for investigating the parametric dependence in parabolic diffusion-convection equations representing the behavior of tubular flow reactors.

Keywords

Higher-order Discretization Stormer-Numerov Formula Tubular Flow Reactor Parital Differential Equation Continuation

References

Doedel E, "AUTO: A Program for the Automatic Bifurcation Analysis of Autonomous Systems," Proc. 10th Manitoba Conference on Numerical Mathematics and Computing, Winnipeg, Canada (1980)
Hassard B, El-Henawy IM, Appl. Math. Comput., 9, 75 (1981)
Hlavacek V, Hofmann H, Chem. Eng. Sci., 25, 173 (1970)
Hlavacek V, Hofmann H, Chem. Eng. Sci., 25, 187 (1970)
Hlavacek V, Hafmann H, Chem. Eng. Sci., 25, 1571 (1970)
Jensen KF, Ray WH, Chem. Eng. Sci., 37, 199 (1982)
Kim SH, Park HS, J. Theor. Biol., in press (2000)
Nandapurkar P, Hlavacek V, Bull. Math. Biol., 46, 269 (1984)
Seydel R, Appl. Math. Comput., 9, 257 (1981)