Results 51 to 60 of about 594 (186)

Sliding Mode Control Based on PID Switching Surface Design for Terminal Voltage and Load Frequency Control in Multi‐Area Power Systems

IET Generation, Transmission &Distribution, Volume 20, Issue 1, January/December 2026.
Unlike conventional studies that treat automatic voltage regulation (AVR) and load frequency control (LFC) as decoupled subsystems, a combined state‐space model of MAPS is first formulated to capture the electromechanical coupling between the two loops while representing load disturbances, parameter uncertainties, and solar power output fluctuations ...
Nguyen Thanh Doan, Dao Trong Tran, Do Dac Thiem, Van Van Huynh   +3 more
wiley   +1 more source

Nonlocal‐to‐Local Limits and Diffusion Approximation in Aggregation Models With Finite‐Range Interactions

Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.
We investigate the nonlocal‐to‐local limit of aggregation–diffusion equations with finite‐range interactions. The drift is generated by an odd, short‐range vector kernel acting on a nonlinear density response. On the flat torus, the rescaled operator is written as a difference quotient and shown to be uniformly bounded from H1 to L2.
S. C. Oukouomi Noutchie, Jaume Giné
wiley   +1 more source

Uniformly Convergent Hybrid Numerical Method for Singularly Perturbed Delay Convection-Diffusion Problems

International Journal of Differential Equations, 2021
This paper deals with numerical treatment of nonstationary singularly perturbed delay convection-diffusion problems. The solution of the considered problem exhibits boundary layer on the right side of the spatial domain.
Mesfin Mekuria Woldaregay, Gemechis File Duressa   +1 more
doaj   +1 more source

A Midpoint Upwind Numerical Scheme for Singularly Perturbed Differential Difference Equations

Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.
In this work, we consider a class of singularly perturbed differential‐difference equations with small shift parameters in the convection and reaction terms, which frequently arise in applied mathematics and engineering. The presence of a small diffusion parameter ε, (0 < ε ≪ 1) causes the solution of the considered problem to exhibit steep gradients ...
Amare Worku Demsie, Awoke Andargie Tiruneh, Endalew Getnet Tsega, Jaume Giné   +3 more
wiley   +1 more source

A Layer-Adapted Numerical Method for Singularly Perturbed Partial Functional-Differential Equations

Axioms
This article describes an effective computing method for singularly perturbed parabolic problems with small negative shifts in convection and reaction terms. To handle the small negative shifts, the Taylor series expansion is used.
Ahmed A. Al Ghafli, Fasika Wondimu Gelu, Hassan J. Al Salman   +2 more
doaj   +1 more source

Quartic B-Spline Technique for Third-Order Linear Singularly Perturbed Boundary Value Problem with Discontinuous Source Term [PDF]

International Journal of Mathematical, Engineering and Management Sciences
In this paper, we developed an effective computational technique for addressing third-order linear singularly perturbed problems having the source term discontinuous.
Shilpkala T. Mane, Ram Kishun Lodhi
doaj   +1 more source

Triple Junction Solutions for a Singularly Perturbed Neumann Problem [PDF]

SIAM Journal on Mathematical Analysis, 2011
We consider the singularly perturbed Neumann problem $\varepsilon^2 \Delta u -u +u^p = 0$, $u>0$ in $\Omega$, ${\partial u \over \partial \nu}=0$ on $\partial \Omega$, where $p>1$ and $\Omega$ is a smooth and bounded domain in $\mathbb{R}^2$. We construct a class of solutions which consist of large number of spikes concentrated on three line segments ...
Weiwei Ao, Monica Musso, Juncheng Wei
openaire   +5 more sources

A Novel Numerical Algorithm for Singularly Perturbed Parabolic Problems With Discontinuous Convection Coefficient and Source Terms

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
In this work, a novel numerical algorithm is presented to solve singularly perturbed parabolic problems with discontinuous convection coefficients and source terms. The problem is approximated using the Crank–Nicolson method in the temporal direction on a uniform mesh and the novel finite difference method in spatial direction.
Mousa J. Huntul, Imiru Takele Daba, Leopoldo Greco   +2 more
wiley   +1 more source

Optimal Placement of Solar PV Using Time‐Series Load Flow Analysis and Diurnal Load Factor in High‐Voltage Distribution Network

International Transactions on Electrical Energy Systems, Volume 2026, Issue 1, 2026.
In the midst of rapid growth in the power sector, there is a pressing need to address increasing load demands and the introduction of additional electrical vehicle‐related loads. Renewable energy resources, particularly solar photovoltaics (PVs), emerge as crucial allies in meeting the rising electricity requirements. However, integrating solar PV into
Muthuveerappan S., Dhayalini K., Jagabar Sathik M., Youcef Belkhier   +3 more
wiley   +1 more source

Analysis of a Singularly Perturbed Traveling Wave Problem [PDF]

SIAM Journal on Applied Mathematics, 1992
Summary: A singularly perturbed traveling wave problem derived from the drift diffusion model describing electron transport in two-valley semiconductor materials is analysed. It is shown that the reduced problem, defined on a submanifold of the phase space, has homoclinic orbits for certain parameters.
openaire   +1 more source