Results 71 to 80 of about 2,862 (195)

Numerical Treating of Mixed Integral Equation Two-Dimensional in Surface Cracks in Finite Layers of Materials

Advances in Mathematical Physics, 2022
The goal of this paper is study the mixed integral equation with singular kernel in two-dimensional adding to the time in the Volterra integral term numerically.
A. M. Al-Bugami
doaj   +1 more source

Convergence analysis of the Chebyshev-Legendre spectral method for a class of Fredholm fractional integro-differential equations

, 2018
In this paper, we propose and analyze a spectral Chebyshev-Legendre approximation for fractional order integro-differential equations of Fredholm type. The fractional derivative is described in the Caputo sense.
Babolian, E., Javadi, S., Moradi, E., Yousefi, A.   +3 more
core   +1 more source

Adaptive Vibration Control of the Moving Cage in the 4 ×$\times$ 4 Hyperbolic PDE‐ODE Model of the Dual‐Cable Mining Elevator

IET Control Theory &Applications, Volume 19, Issue 1, January/December 2025.
This paper proposes an observer‐based adaptive output‐feedback boundary control to stabilize the vibrations of the moving cage of a dual‐cable mining elevator. This system is comprised of two mechanically jointed winding drums that drive the two cables through the floating sheaves to lift the cage.
Elham Aarabi, Mohammadali Ghadiri‐Modarres, Mohsen Mojiri   +2 more
wiley   +1 more source

Solving multi-point problem for Volterra-Fredholm integro-differential equations using Dzhumabaev parameterization method

Open Mathematics
In this study, a multipoint boundary value problem for Volterra-Fredholm integro-differential equations is considered. The addition of a new function converts the system of Volterra-Fredholm integro-differential equations to a system of Fredholm integro ...
Bakirova Elmira A., Assanova Anar T., Kadirbayeva Zhazira M.   +2 more
doaj   +1 more source

An exponentially convergent Volterra-Fredholm method for integro-differential equations [PDF]

, 2017
Extending the authors’ recent work [15] on the explicit computation of error bounds for Nystrom solvers applied to one-dimensional Fredholm integro-differential equations (FIDEs), presented herein is a study of the errors incurred by first transforming (
Fairbairn, AI, Kelmanson, MA
core  

Grassmannian flows and applications to nonlinear partial differential equations

, 2018
We show how solutions to a large class of partial differential equations with nonlocal Riccati-type nonlinearities can be generated from the corresponding linearized equations, from arbitrary initial data.
A Abbondandolo, A Pressley, C Martin, C Pöppe, C Pöppe, C Pöppe, C Pöppe, CA Tracy, FJ Dyson, G Segal, G Wilson, HP McKean, I. Karambal, J Deng, J Schiff, JC Alexander, K Furutani, M Beck, M Reed, M Sato, M. I. Zelikin, MA Guest, Margaret Beck, MJ Ablowitz, NF Britton, Ole Christensen, P Balazs, P Griffiths, PG Drazin, Philippe Blanchard, R Hermann, RK Dodd, RM Miura, RW Brockett, S Bian, T Miwa, V Ledoux, V Ledoux, VE Zakharov, W Bauhardt   +39 more
core   +1 more source

Some Numerical Techniques for Solve Nonlinear Fredholm-Volterra Integral Equation

, 2018
In this paper, the existence and uniqueness of the solution of nonlinear Fredholm – Volterra integral equation is consider(NF-VIE) with continuous kernel , then we use a numerical method to reduce this type of equations to a system of Fredholm integral equation . Trapeziodal rule, Simpson rule, and Romberg integral method are used to solve the Fredholm
A. M. Al-Bugami, J. G. Al-Juaid
openaire   +1 more source

Numerical solution of the nonlinear Fredholm-Volterra- Hammerstein integral equations via Bessel functions

, 2020
In this paper, a collocation method based on the Bessel polynomials is used for the solution of nonlinear Fredholm-Volterra-Hammerstein integral equations (FVHIEs). This method transforms the nonlinear (FVHIEs) into matrix equations with the help of Bessel polynomials of the first kind and collocation points. The matrix equations correspond to a system
Ordokhani, Yadollah, Dehestani, Haniye
openaire   +1 more source

Adaptive Robust Nonlinear Optimal Sliding Mode Control for Wind Turbines: A Hybrid OHAM‐Based Approach to Maximize Power Capture

IET Renewable Power Generation, Volume 19, Issue 1, January/December 2025.
In this article, we propose an adaptive robust nonlinear optimal sliding mode control using the optimal homotopy asymptotic method (RNOSC‐OHAM) for maximizing wind power capture. Because of the unstable nature of the wind and the presence of uncertainties and disturbances in the structure of the wind turbine, the optimal controller cannot provide ...
Arefe Shalbafian, Farhad Amiri, Soheil Ganjefar   +2 more
wiley   +1 more source

Solvability of some integral equations in Hilbert spaces

Electronic Journal of Differential Equations, 2004
We consider an integral equation of Fredholm and Volterra type with spectral parameter depending on time. Conditions of solvability are established when the initial value of the parameter coincides with an eigenvalue of Fredholm operator.
Onur Alp Ilhan
doaj