DocumentCode :
1677160
Title :
On a class of inverse problems for loaded equations with nonlocal conditions
Author :
Aida-zade, K. ; Abdullayev, V.
Author_Institution :
Azerbaijan Cybern. Inst., Azerbaijan State Oil Acad., Baku, Azerbaijan
fYear :
2012
Firstpage :
1
Lastpage :
4
Abstract :
We investigate problems of restoring the parameters of an object the state of which is described by a non-autonomous system of ordinary loaded differential equations with nonseparated point and integral conditions. To restore the parameters, additional conditions are given. We propose an approach to the numerical solution to the problem. The approach is based on the operation that convolves given integral conditions into point conditions. This approach allows reducing the solution to the initial problem to a Cauchy problem with respect to systems of ordinary differential and of linear algebraic equations. The approach is extended to a class of one-dimensional inverse problems for parabolic equations.
Keywords :
differential algebraic equations; integral equations; inverse problems; linear algebra; numerical analysis; parabolic equations; Cauchy problem; linear algebraic equations; nonautonomous system; nonlocal conditions; nonseparated integral conditions; nonseparated point conditions; numerical solution; object parameter restoration; one-dimensional inverse problems; ordinary loaded differential algebraic equations; parabolic equations; integral conditions; loaded differential equations; method of lines; nonlocal conditions; system parameters;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Problems of Cybernetics and Informatics (PCI), 2012 IV International Conference
Conference_Location :
Baku
Print_ISBN :
978-1-4673-4500-2
Type :
conf
DOI :
10.1109/ICPCI.2012.6486382
Filename :
6486382
Link To Document :
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