ANZIAM  J.  45 (2003), 295-302
Decomposition method for solving a nonlinear business cycle model

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


Abstract
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.
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