Journal of Mathematical Chemistry

, Volume 44, Issue 2, pp 501–513 | Cite as

Wavelet-based collocation method for stiff systems in process engineering

  • Tonghua Zhang
  • Yu-Chu Tian
  • Moses O. Tadé
Original Paper


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.


Wavelet Collocation method Stiff system Numerical solution Chemical reaction model 


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Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.Department of Chemical EngineeringCurtin University of TechnologyPerthAustralia
  2. 2.School of Software Engineering and Data Communications, Faculty of Information TechnologyQueensland University of TechnologyBrisbaneAustralia

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