Nonlinear Systems of Volterra Equations with Piecewise Smooth Kernels: Numerical Solution and Application for Power Systems Operation

Nonlinear Systems of Volterra Equations with Piecewise Smooth Kernels: Numerical Solution and Application for Power Systems Operation

The evolutionary integral dynamical models of storage systems are addressed. Such models are based on systems of weakly regular nonlinear Volterra integral equations with piecewise smooth kernels. These equations can have non-unique solutions that depend on free parameters. The objective of this pap...

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Bibliographic Details
Main Authors: Denis Sidorov, Aleksandr Tynda, Ildar Muftahov, Aliona Dreglea, Fang Liu
Format: Article
Language:English
Published: MDPI AG 2020-08-01
Series:Mathematics
Subjects:
inverse problem
Newton–Kantorovich method
nonlinear Volterra equations
discontinuous kernels
energy storage
direct discretization
Online Access:https://www.mdpi.com/2227-7390/8/8/1257

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