Singularly perturbed first-order differential equations with integral boundary condition

2009 ◽  
Vol 13 (1) ◽  
pp. 20-22 ◽  
Author(s):  
Lian Zhang ◽  
Feng Xie
Keyword(s):  
Boundary Condition ◽  
Differential Equations ◽  
Singularly Perturbed ◽  
Integral Boundary Condition ◽  
Integral Boundary ◽  
First Order ◽  
First Order Differential Equations

scholarly journals Note on the Sensitivity of Simulated Solutions of the Nonlinear Singularly Perturbed Dynamical System on the Used Different Rewriting into a System of First Order Differential Equations

2016 ◽  
Vol 24 (39) ◽  
pp. 51-55
Author(s):  
Vladimír Liška ◽  
Zuzana Šútova ◽  
Dušan Pavliak
Keyword(s):  
Dynamical System ◽  
Numerical Methods ◽  
Differential Equations ◽  
Numerical Simulations ◽  
Numerical Scheme ◽  
Singularly Perturbed ◽  
First Order ◽  
First Order Differential Equations

Abstract In this paper we analyze the sensitivity of solutions to a nonlinear singularly perturbed dynamical system based on different rewriting into a System of the First Order Differential Equations to a numerical scheme. Numerical simulations of the solutions use numerical methods implemented in MATLAB.

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