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Decomposition method for solving a nonlinear business cycle model

Published online by Cambridge University Press:  17 February 2009

Elias Deeba ,
Ghassan Dibeh ,
Suheil Khuri  and
Shishen Xie
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.

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 45 , Issue 2 , October 2003 , pp. 295 - 302
Copyright
Copyright © Australian Mathematical Society 2003

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