scholarly journals Nonlinear Elimination of Drugs in One-Compartment Pharmacokinetic Models: Nonstandard Finite Difference Approach for Various Routes of Administration

2018 ◽  
Vol 23 (2) ◽  
pp. 27 ◽  
Author(s):  
Oluwaseun Egbelowo
Keyword(s):  
Finite Difference ◽  
Pharmacokinetic Models ◽  
Routes Of Administration ◽  
Nonlinear Elimination ◽  
Nonstandard Finite Difference ◽  
Finite Difference Approach

Numerical Dynamics of Nonstandard Finite Difference Method for Nonlinear Delay Differential Equation

2018 ◽  
Vol 28 (11) ◽  
pp. 1850133 ◽  
Author(s):  
Xiaolan Zhuang ◽  
Qi Wang ◽  
Jiechang Wen
Keyword(s):  
Differential Equation ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Delay Differential Equation ◽  
Difference Method ◽  
Discrete System ◽  
Delay Differential ◽  
Nonlinear Delay Differential Equation ◽  
Nonlinear Delay ◽  
Nonstandard Finite Difference

In this paper, we study the dynamics of a nonlinear delay differential equation applied in a nonstandard finite difference method. By analyzing the numerical discrete system, we show that a sequence of Neimark–Sacker bifurcations occur at the equilibrium as the delay increases. Moreover, the existence of local Neimark–Sacker bifurcations is considered, and the direction and stability of periodic solutions bifurcating from the Neimark–Sacker bifurcation of the discrete model are determined by the Neimark–Sacker bifurcation theory of discrete system. Finally, some numerical simulations are adopted to illustrate the corresponding theoretical results.

scholarly journals COMPUTATION OF THE MODES OF ELLIPTIC WAVEGUIDES WITH A CURVILINEAR 2D FREQUENCY-DOMAIN FINITE-DIFFERENCE APPROACH

2012 ◽  
Vol 26 ◽  
pp. 69-84 ◽  
Author(s):  
Alessandro Fanti ◽  
Giuseppe Mazzarella ◽  
Giorgio Montisci ◽  
Giovanni Andrea Casula
Keyword(s):  
Finite Difference ◽  
Frequency Domain ◽  
Finite Difference Approach
Sign in / Sign up

Export Citation Format

Share Document