Numerical solution of nonlinear delay differential equations of fractional variable-order using a novel shifted Jacobi operational matrix

2021 ◽  
Author(s):  
H. R. Khodabandehlo ◽  
E. Shivanian ◽  
S. Abbasbandy
Keyword(s):  
Differential Equations ◽  
Numerical Solution ◽  
Delay Differential Equations ◽  
Operational Matrix ◽  
Variable Order ◽  
Nonlinear Delay Differential Equations ◽  
Delay Differential ◽  
Nonlinear Delay

scholarly journals Oscillations of Numerical Solutions for Nonlinear Delay Differential Equations in the Control of Erythropoiesis

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Qi Wang ◽  
Jiechang Wen
Keyword(s):  
Differential Equations ◽  
Equilibrium Point ◽  
Numerical Solution ◽  
Delay Differential Equations ◽  
Numerical Solutions ◽  
Continuous System ◽  
Numerical Examples ◽  
Nonlinear Delay Differential Equations ◽  
Delay Differential ◽  
Nonlinear Delay

We consider the oscillations of numerical solutions for the nonlinear delay differential equations in the control of erythropoiesis. The exponentialθ-method is constructed and some conditions under which the numerical solutions oscillate are presented. Moreover, it is proven that every nonoscillatory numerical solution tends to the equilibrium point of the continuous system. Numerical examples are given to illustrate the main results.

Sign in / Sign up

Export Citation Format

Share Document