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Numerical solution of locally loaded Volterra integral equations
Vladislav Byankin, Aleksandr Tynda, Denis Sidorov +1
Volterra's integral equations with local and nonlocal loads represent the novel class of integral equations that have attracted considerable attention in recent years. These equati…
Volterra black-box models identification methods: direct collocation vs least squares
Denis Sidorov, Aleksandr Tynda, Vladislav Muratov +1
The Volterra integral-functional series is the classic approach for nonlinear black box dynamical systems modeling. It is widely employed in many domains including radiophysics, ae…
Polynomial spline collocation method for solving weakly regular Volterra integral equations of the first kind
A. Tynda, S. Noeiaghdam, D. Sidorov
The polynomial spline collocation method is proposed for solution of Volterra integral equations of the first kind with special piecewise continuous kernels. The Gauss-type quadrat…