Modelling autonomous oscillations in the human pupil light reflex using non-linear delay-differential equations

1989 ◽  
Vol 51 (5) ◽  
pp. 605-624 ◽  
Author(s):  
André Longtin ◽  
John G. Milton
Keyword(s):  
Differential Equations ◽  
Delay Differential Equations ◽  
Light Reflex ◽  
Pupil Light Reflex ◽  
Linear Delay ◽  
Non Linear ◽  
Delay Differential

scholarly journals Numerical Solution of Non-linear Delay Differential Equations Using Semi Analytic Iterative Method

2019 ◽  
Vol 25 (103) ◽  
pp. 131-142
Author(s):  
Asmaa A. Aswhad ◽  
Samaher M. Yassein
Keyword(s):  
Exact Solution ◽  
Differential Equations ◽  
Iterative Method ◽  
Numerical Solution ◽  
Delay Differential Equations ◽  
Initial Conditions ◽  
Linear Delay ◽  
Non Linear ◽  
Delay Differential

       We present a reliable algorithm for solving, homogeneous or inhomogeneous, nonlinear ordinary delay differential equations with initial conditions. The form of the solution is calculated as a series with easily computable components. Four examples are considered for the numerical illustrations of this method. The results reveal that the semi analytic iterative method (SAIM) is very effective, simple and very close to the exact solution demonstrate reliability and efficiency of this method for such problems.                       

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