Solution of the delayed single degree of freedom system equation by exponential matrix method

Çevik M., BAHŞI M. M., Sezer M.

Applied Mathematics and Computation, cilt.242, ss.444-453, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 242
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1016/j.amc.2014.05.111
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.444-453
  • Anahtar Kelimeler: Exponential collocation method, Single degree of freedom system, Time delay
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this paper, an exponential collocation method for the solution linear delay differential equations with constant delay is presented. The utility of this matrix based method is that it is very systematic and by writing a Maple program, any type of second order linear differential delay equation can be solved easily. The method is applied to three different types of delay equations; linear oscillator with delay (i) in the restoring force term, (ii) in the damping term, and (iii) in the acceleration term. Time response curves have been plotted for each type and the effect of the parameters of the delay terms has been shown. An error analysis based on residual function is carried out to show the accuracy of the results. © 2014 Elsevier Inc. All rights reserved.