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Decomposition method for solving a nonlinear business cycle model

Published online by Cambridge University Press:  17 February 2009

Elias Deeba
Affiliation:
Department of Computer and Mathematical Sciences, University of Houston-Downtown, Houston, Texas 77002, USA; e-mail: deebae@dt.uh.edu and xies@dt.uh.edu.
Ghassan Dibeh
Affiliation:
Department of Economics, Lebanese American University, Byblos, Lebanon; e-mail: gdibeh@lau.edu.lb.
Suheil Khuri
Affiliation:
Department of Computer Science, Mathematics and Statistics, AUS, UAE.
Shishen Xie
Affiliation:
Department of Computer and Mathematical Sciences, University of Houston-Downtown, Houston, Texas 77002, USA; e-mail: deebae@dt.uh.edu and xies@dt.uh.edu.
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Abstract

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In this paper we present a Kaleckian-type model of a business cycle based on a nonlinear delay differential equation. A numerical algorithm based on a decomposition scheme is implemented for the approximate solution of the model. The numerical results of the underlying equation show that the business cycle is stable.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2003

References

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