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Wavelet-based collocation method for stiff systems in process engineering

Zhang, Tonghua , Tian, Yu-Chu, & Tade, Moses O. (2008) Wavelet-based collocation method for stiff systems in process engineering. Journal of Mathematical Chemistry, 44(2), pp. 501-513.

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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.

Impact and interest:

4 citations in Scopus
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2 citations in Web of Science®

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186 since deposited on 11 Aug 2008
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ID Code: 14349
Item Type: Journal Article
Keywords: wavelet, collocation method, stiff system, numerical solution, chemical reaction model
DOI: 10.1007/s10910-007-9324-9
ISSN: 0259-9791
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300) > Numerical Analysis (010301)
Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300) > Numerical Analysis (010301)
Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > PURE MATHEMATICS (010100) > Ordinary Differential Equations Difference Equations and Dynamical Systems (010109)
Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > CHEMICAL ENGINEERING (090400) > Process Control and Simulation (090407)
Divisions: Past > QUT Faculties & Divisions > Faculty of Science and Technology
Copyright Owner: Copyright 2008 Springer
Copyright Statement: The original publication is available at SpringerLink http://www.springerlink.com
Deposited On: 11 Aug 2008
Last Modified: 29 Feb 2012 23:47

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