Geodesic
Investigation of the unsteady-state hydraulic networks by means of singular systems of integral differential equations
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 9 (2016) no. 1, pp. 59-72

Voir la notice de l'article provenant de la source Math-Net.Ru

Analysis of complex hydraulic networks, electric circuits, electronic schemes, chemical processes etc. often results in a system of interconnected differential and algebraic equations. If the process under study has after-effect, then the system includes integral equations. This paper addresses simulation of hydraulic networks by means of the theory for singular systems of integral differential equations. We present theoretical tools that help investigate qualitative properties of such systems and search for effective methods of solution. A mathematical model for the straight through boiler circuit has been developed and a numerical method for its solution has been constructed. Experimental results showed that the theory for singular systems of integral differential equations performs well when applied to simulation of the hydraulic networks.
Keywords: differential-algebraic equations; integral-algebraic equations; hydraulic network; hydraulic circuit; index; numerical methods. 
@article{VYURU_2016_9_1_a4,
     author = {E. V. Chistyakova and Nguyen Duc Bang},
     title = {Investigation of the unsteady-state hydraulic networks by means of singular systems of integral differential equations},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
     pages = {59--72},
     publisher = {mathdoc},
     volume = {9},
     number = {1},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VYURU_2016_9_1_a4/}
}
TY  - JOUR
AU  - E. V. Chistyakova
AU  - Nguyen Duc Bang
TI  - Investigation of the unsteady-state hydraulic networks by means of singular systems of integral differential equations
JO  - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie
PY  - 2016
SP  - 59
EP  - 72
VL  - 9
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VYURU_2016_9_1_a4/
LA  - en
ID  - VYURU_2016_9_1_a4
ER  - 
%0 Journal Article
%A E. V. Chistyakova
%A Nguyen Duc Bang
%T Investigation of the unsteady-state hydraulic networks by means of singular systems of integral differential equations
%J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie
%D 2016
%P 59-72
%V 9
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VYURU_2016_9_1_a4/
%G en
%F VYURU_2016_9_1_a4
E. V. Chistyakova; Nguyen Duc Bang. Investigation of the unsteady-state hydraulic networks by means of singular systems of integral differential equations. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 9 (2016) no. 1, pp. 59-72. http://geodesic.mathdoc.fr/item/VYURU_2016_9_1_a4/