Results 21 to 30 of about 162 (130)

On the Robustness of Dirichlet–Neumann Coupling Schemes for Fluid‐Structure‐Interaction Problems With Nearly‐Closed Fluid Domains

International Journal for Numerical Methods in Engineering, Volume 126, Issue 18, 30 September 2025.
ABSTRACT The partitioned approach for fluid‐structure interaction (FSI) simulations involves solving the structural and flow field problems sequentially. This approach allows separate settings for the fluid and solid subsystems, ensuring modularity and leveraging advanced commercial and open‐source software capabilities to offer increased flexibility ...
A. Aissa‐Berraies, F. A. Auricchio, G. J. van Zwieten, E. H. van Brummelen   +3 more
wiley   +1 more source

Estimates of Solutions for Integro‐Differential Equations in Epidemiological Modeling

Mathematical Methods in the Applied Sciences, Volume 48, Issue 10, Page 10533-10543, 15 July 2025.
ABSTRACT Integro‐differential equations (IDE) have been applied in a variety of areas of research, including epidemiology. Recently, IDE systems were applied to study dengue fever transmission dynamics at the population level. In this study, we extend the approach presented in a previous study for describing the epidemiological model of dengue fever ...
A. Domoshnitsky, I. Volinsky, S. Biton, V. Steindorf   +3 more
wiley   +1 more source

A homotopy perturbation algorithm to solve a system of Fredholm–Volterra type integral equations

Mathematical and Computer Modelling, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

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

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

An Algorithm for Solving Phase‐Lag Nonlinear Mixed Integral Equation With Discontinuous Generalized Kernel

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, M. A. Abdou, Shikha Binwal   +2 more
wiley   +1 more source

Mixed type of Fredholm-Volterra integral equation

Le Matematiche, 2005
In this paper the solution of mixed type of Fredholm-Volterra integral equation, \[ \int_0^t \int_{-1}^1 F(t,\tau) k \left( \frac{x-y}{\lambda} \right) \phi(y,\tau)\,dy\,d\tau + \int_0^t G(t,\tau ) \phi (x, \tau)\,d\tau = [\gamma(t)-f(x)], \] with the condition \(\int_{-1}^1 \phi(x,t)\,dx =P(t) \), is discussed.
M. A. Abdou, G. M. Abd Al-Kader
openaire   +2 more sources

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, Ahlam Yahya Alabdali, Pedro Alonso   +2 more
wiley   +1 more source

Solvability of Implicit Fractional Systems With Nonlocal Conditions in Weighted Functional Spaces

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
This paper investigates the existence and uniqueness of solutions for a class of nonlinear implicit Riemann–Liouville fractional integro‐differential equations subject to nonlocal conditions in a weighted Banach space. The inclusion of both implicit effects and nonlocal terms introduces additional complexity, making the analysis both challenging and ...
Abdulrahman A. Sharif, Maha M. Hamood, Kirtiwant P. Ghadle, Sining Zheng   +3 more
wiley   +1 more source

Approximate Solution of Intuitionistic Fuzzy Volterra Integral Equation of Separable‐Type Kernel Using Elzaki Adomian Decomposition Method

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
An intuitionistic fuzzy number, which incorporates both membership and nonmembership functions at a same time, allows for a more accurate representation of uncertainty. This work presents an approximate solution to the Volterra integral equation that involves both membership and nonmembership degrees of uncertainty named as intuitionistic fuzzy ...
Zain Khan, Saleem Abdullah, Samuel Okyere, Bikash Koli Dey   +3 more
wiley   +1 more source