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  1. Journal of Applied Sciences
  2. Vol 12 (14), 2012
  3. 1513-1517
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Journal of Applied Sciences

Year: 2012 | Volume: 12 | Issue: 14 | Page No.: 1513-1517
DOI: 10.3923/jas.2012.1513.1517

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Authors


S. Jahangiri

Country: Iran

S. Karimi

Country: Iran

J. Sedighi

Country: Iran

Keywords


  • Adomian decomposition method
  • delay differential systems
  • telescoping decomposition method
Research Article

A Telescoping Numerical Scheme for the Solution of Retarded Delay Differential Systems

S. Jahangiri, S. Karimi and J. Sedighi
In this study, approximate and/or exact analytical solutions of the Retarded Delay Differential Systems (RDDSs) are obtained by Telescoping Decomposition Method (TDM). TDM is a modified form of the well-known Adomian Decomposition Method (ADM). The main features of the TDM are that it deforms a difficult problem into a set of problems which are easier to solve and avoids calculating the Adomian polynomials. The analytical approximations with high accuracy are obtained using the TDM which agree well with the numerical results. Some illustrative linear and nonlinear experiments are given to indicate the validity and great potential of the proposed method for solving RDDSs.
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How to cite this article

S. Jahangiri, S. Karimi and J. Sedighi, 2012. A Telescoping Numerical Scheme for the Solution of Retarded Delay Differential Systems. Journal of Applied Sciences, 12: 1513-1517.

DOI: 10.3923/jas.2012.1513.1517

URL: https://scialert.net/abstract/?doi=jas.2012.1513.1517

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