International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2568

Full Length Research Paper

Comparison study between differential transform method and Adomian decomposition method for some delay differential equations

K. R. Raslan1,2* and Zain F. Abu Sheer3
1Community College in Riyadh, King Saud University, Saudi Arabia. 2Department of Mathematics, Faculty of Science, Al-Azhar University, Egypt. 3Department of Mathematics, Preparatory Year, Riyadh, King Saud University, Saudi Arabia.  
Email: [email protected]

  •  Accepted: 04 February 2013
  •  Published: 09 May 2013

Abstract

A numerical method based on the differential transform method (DTM) and the Adomian decomposition method (ADM) is introduced in this paper for the approximate solution of delay differential equation (DDE). The algorithm is illustrated by studying an initial value problem. The results obtained are presented and show that only few terms are required to obtain an approximate solution which is found to be accurate and efficient.

 

Key words: Delay differential equations, differential transform method, Adomian decomposition method.