Solving systems of differential equations of block structure with nonseparated boundary conditions

DOI10.1134/S1990478915010019zbMath1340.65144OpenAlexW2083842796MaRDI QIDQ5502073

Kamil R. Aida-zade, Ye. R. Ashrafova

Publication date: 14 August 2015

Published in: Journal of Applied and Industrial Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1990478915010019

zbMATH Keywords

Cauchy problemnonseparated boundary conditionsRunge-Kutta methodnumerical experimentsystem of differential equationsblock structuremethod of transfer of conditions

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (4)

Control of effects in the right-hand sides of a large ODE system of a block structure and optimization of sources in unseparated boundary conditions ⋮ Optimization of source locations and parameters for network structure objects ⋮ Numerical leak detection in a pipeline network of complex structure with unsteady flow ⋮ Numerical solution to an inverse problem on a determination of places and capacities of sources in the hyperbolic systems

Cites Work

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• On the solution of boundary value problems with nonseparated multipoint and integral conditions
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• Study of nonlinear optimization problems with net structure
• Study and numerical solution of finite difference approximations of distributed-system control problems
• Decomposition Methods for Differential Equations
• On the transfer of boundary conditions for systems of ordinary linear differential equations (a variant of the dispersive method)

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