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Title

Wavelet-based collocation method for stiff systems in process engineering

Author(s)

Zhang, Tonghua;  Tian, Yu-Chu;  Tade, Moses O.

Abstract

Abrupt phenomena in modelling real-world systems such as chemical processes indicate the importance of investigating stiff systems. However, it is difficult to get the solution of a stiff system analytically or numerically. Two such types of stiff systems describing chemical reactions were modelled in this paper. A numerical method was proposed for solving these stiff systems, which have general nonlinear terms such as exponential function. The technique of dealing with the nonlinearity was based on the Wavelet-Collocation method, which converts differential equations into a set of algebraic equations. Accurate and convergent numerical solutions to the stiff systems were obtained. We also compared the new results to those obtained by the Euler method and 4th order Runge-Kutta method.

Publication type

Journal article

Source

Journal of Mathematical Chemistry, Vol. 44, no. 2 (Aug 2008), pp. 501-513

Publication year

2008

FOR Code(s)

03 Chemical Sciences;  01 Mathematical Sciences

Keyword(s)

Chemical reaction model;  Collocation method;  Numerical solution;  Stiff system;  Wavelet

Publisher

Springer

ISSN

0259-9791

Publisher URL

http://dx.doi.org/10.1007/s10910-007-9324-9

Copyright

Copyright © 2007 Springer Science+Business Media, LLC. The accepted manuscript of the paper is reproduced here in accordance with the copyright policy of the publisher. The definitive version of the publication is available at www.springer.com.

Research Projects

Approved wavelet approaches for solving nonlinear dynamic systems in process engineering, Australian Research Council grant number DP0770420

Full text

Peer reviewed