Skip to main content
×
Home
    • Aa
    • Aa
  • Access
  • Cited by 2
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Ballestra, Luca Vincenzo Guerrini, Luca and Pacelli, Graziella 2013. Stability Switches and Hopf Bifurcation in a Kaleckian Model of Business Cycle. Abstract and Applied Analysis, Vol. 2013, p. 1.


    Blanco-Cocom, Luis Estrella, Angel G. and Avila-Vales, Eric 2012. Solving delay differential systems with history functions by the Adomian decomposition method. Applied Mathematics and Computation, Vol. 218, Issue. 10, p. 5994.


    ×

Decomposition method for solving a nonlinear business cycle model

  • Elias Deeba (a1), Ghassan Dibeh (a2), Suheil Khuri (a3) and Shishen Xie (a1)
  • DOI: http://dx.doi.org/10.1017/S1446181100013353
  • Published online: 01 February 2009
Abstract
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.

    • Send article to Kindle

      To send this article to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle.

      Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

      Find out more about the Kindle Personal Document Service.

      Decomposition method for solving a nonlinear business cycle model
      Your Kindle email address
      Available formats
      ×
      Send article to Dropbox

      To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your Dropbox account. Find out more about sending content to Dropbox.

      Decomposition method for solving a nonlinear business cycle model
      Available formats
      ×
      Send article to Google Drive

      To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your Google Drive account. Find out more about sending content to Google Drive.

      Decomposition method for solving a nonlinear business cycle model
      Available formats
      ×
Copyright
Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

[1]K. Abbaoui and Y. Cherruault , “The decomposition method applied to the Cauchy problem”, Kybernetes 28 (1999) 6874.

[2]G. Adomian , “A new approach to nonlinear partial differential equations”, J. Math. Anal. Appl. 102 (1984) 420434.

[3]P. K. Asea and P. Zak , “Time-to-build and cycles”, J. Econom. Dynam. Control 23 (1999) 11551175.

[7]Y. Cherruault , G. Saccomandi and B. Some , “New results for convergence of Adomian's method applied to integral equations”, Math. Comput. Modelling 16 (1992) 8593.

[8]Y. Cherruault and Y. Seng , “The resolution of non-linear integral equations of the first kind using the decompositional method of Adomian”, Kybernetes 26 (1997) 198206.

[10]G. Dibeh , “Time delays and business cycles: Hilferding's model revisited”, Rev. Political Econ. 13 (2001) 329341.

[15]S. Khelifa and Y. Cherruault , “New results for the Adomian method”, Kybernetes 29 (2000) 332355.

[16]F. E. Kydland and E. C. Prencott , “Time to build and aggregate fluctuations”, Econometrica 50 (1982) 13451369.

[17]R. E. Lucas , “An equilibrium model of the business cycles”, J. Political Econom. 83 (1975) 11131144.

[18]C. Plosser , “Understanding real business cycles”, J. Econom. Perspect. 3 (1989) 5178.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

The ANZIAM Journal
  • ISSN: 1446-1811
  • EISSN: 1446-8735
  • URL: /core/journals/anziam-journal
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax