Results 61 to 70 of about 310 (173)
Hybrid functions approach for the nonlinear Volterra–Fredholm integral equations
Procedia Computer Science, 2011 AbstractAn approximation method based on hybrid Legendre and Block–Pulse functions used for the solution of nonlinear Volterra–Fredholm integral equations (NV-FIEs). These hybrid functions operational matrices are presented and are utilized to reduce a nonlinear Volterra–Fredholm integral equation to a system of nonlinear algebraic equations.
Elham Hashemizadeh +2 more
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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 +2 more
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A successive iterative approach for two dimensional nonlinear Volterra-Fredholm integral equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2014 In this paper, an iterative scheme for extracting approximate solutions of two dimensional Volterra-Fredholm integral equations is proposed. Considering some conditions on the kernel of the integral equation obtained by discretization of the integral ...
A. H. Borzabadi, M. Heidari
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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 +2 more
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Journal of Mathematics, 2020 We develop the multiwavelet Galerkin method to solve the Volterra–Fredholm integral equations. To this end, we represent the Volterra and Fredholm operators in multiwavelet bases.
H. Bin Jebreen
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Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.In this work, a nonlinear fractional integrodifferential equation (NFIo‐DE) with discontinuous generalized kernel in position and time is explored in space L2(Ω) × C[0, T], T < 1, with respect to the phase‐lag time. Here, Ω is the domain of integration with respect to position, Ω ∈ (−1, 1), while T is the time.
Abeer M. Al-Bugami +2 more
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A Simple Approach to Volterra-Fredholm Integral Equations
Journal of Applied and Computational Mechanics, 2020 This paper suggests a simple analytical method for Volterra-Fredholm integral equations, the solution process is similar to that by variational-based analytical method, e.g., Ritz method, however, the method requires no establishment of the variational principle for the discussed problem, making the method much attractive for practical applications ...
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Generalized Bihari Type Integral Inequalities and the Corresponding Integral Equations
Journal of Inequalities and Applications, 2009 We study some special nonlinear integral inequalities and the corresponding integral equations in measure spaces. They are significant generalizations of Bihari type integral inequalities and Volterra and Fredholm type integral equations.
László Horváth
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Toeplitz Matrix Method and Nonlinear Volterra–Fredholm Integral Equation With Hilbert Kernel
Computational and Mathematical Methods, Volume 2025, Issue 1, 2025.This work emphasizes the investigation of the solution to the nonlinear Volterra–Fredholm integral equation (NV‐FIE) and the necessary conditions for a unique solution. The first step is to convert the NV‐FIE into a system of nonlinear Fredholm integral equations (NFIEs) using the splitting of the time interval. Analytical and semianalytical approaches
Sameeha Ali Raad +2 more
wiley +1 more source
A fast iterative method for discretized Volterra–Fredholm integral equations
Journal of Computational and Applied Mathematics, 2006 The authors develop a method that reduces the cost of solving discretized versions of nonlinear Volterra-Fredholm integral equations of the form \[ u(t, x)=f(t,x)+\int_0^t \int_{\Omega} G(t, s, x, \xi, u(s, \xi))\,d\xi \,ds \] on a bounded spatial domain.
CARDONE, ANGELAMARIA +2 more
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