On the numerical solution of loaded systems of ordinary differential equations with nonseparated multipoint and integral conditions

2014 ◽  
Vol 7 (1) ◽  
pp. 1-14 ◽  
Author(s):  
K. R. Aida-zade ◽  
V. M. Abdullaev
Keyword(s):  
Differential Equations ◽  
Numerical Solution ◽  
Ordinary Differential Equations ◽  
Integral Conditions

Solution to a class of inverse problems for a system of loaded ordinary differential equations with integral conditions

2016 ◽  
Vol 24 (5) ◽  
Author(s):  
Kamil R. Aida-zade ◽  
Vagif M. Abdullayev
Keyword(s):  
Inverse Problems ◽  
Differential Equations ◽  
Numerical Solution ◽  
Ordinary Differential Equations ◽  
Numerical Experiments ◽  
Parametric Identification ◽  
Initial Problem ◽  
Cauchy Problems ◽  
Integral Conditions ◽  
Identification Problems

AbstractThis work is dedicated to the numerical solution of a class of parametric identification problems for dynamic objects. The process is described by a system of loaded ordinary differential equations. Observations over the object have integral (interval) and point characters, at which the results of the observations are given in a summarized non-separated form. We propose a technique that reduces the solution of the initial problem to the solution of specially-built supplementary Cauchy problems. The results of some numerical experiments are also given.

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