Geodesic
Solving a~system of differential equations of block structure with unseparated boundary conditions
Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 4, pp. 3-13

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We study the solution of a system of higher-dimensional ordinary differential equations of block structure. Separate subsystems are connected with each other by unseparated boundary conditions caused by an arbitrary relation between the boundary values of the solutions to the subsystems. For numerical solution, we propose a scheme of the method of transfer of boundary conditions taking into account some specific characteristics of systems under consideration. The results of numerical experiments are given.
Keywords: system of differential equations, block structure of the system, unseparated boundary condition, method of transfer of conditions, Cauchy problem, Runge–Kutta method. 
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     author = {K. R. Aida-zade and Y. R. Ashrafova},
     title = {Solving a~system of differential equations of block structure with unseparated boundary conditions},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {3--13},
     publisher = {mathdoc},
     volume = {17},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2014_17_4_a0/}
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K. R. Aida-zade; Y. R. Ashrafova. Solving a~system of differential equations of block structure with unseparated boundary conditions. Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 4, pp. 3-13. http://geodesic.mathdoc.fr/item/SJIM_2014_17_4_a0/