Analysis of a Random Zeeman Heartbeat Model with Differential Transformation Method
Abstract
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.
Keywords
Zeeman Heartbeat Model,Variance,Random differential equation,Expected value,Padé approximation
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