Analysis of a Random Zeeman Heartbeat Model with Differential Transformation Method

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Cumhuriyet Science Journal, vol.40, no.2, pp.285-298, 2019 (Peer-Reviewed Journal) identifier

  • Publication Type: Article / Article
  • Volume: 40 Issue: 2
  • Publication Date: 2019
  • Doi Number: 10.17776/csj.460984
  • Journal Name: Cumhuriyet Science Journal
  • Journal Indexes: TR DİZİN (ULAKBİM)
  • Page Numbers: pp.285-298
  • Recep Tayyip Erdoğan University Affiliated: Yes


In this paper, the differential transformation method is used to examine the random Zeeman Heartbeat Model. Some of the parameters and the initial conditions of the model are taken as random variables with Beta and Normal distributions, respectively. The approximate analytical solution of the random Zeeman Model is obtained and used to find the expectation and variance of the model components. The results from the random models including Beta and normal distributed random effects are compared and the approximate numerical characteristics are obtained for these cases. The approximate formulas are also modified by using Laplace-Padé Method to increase the convergence interval of the approximations.