Results 71 to 80 of about 566 (183)

Roars, Rumbles, and Resonance: A Systematic Review and Meta‐Analysis of Crocodylian Acoustic Signals

Ecology and Evolution, Volume 16, Issue 1, January 2026.
Crocodylians are highly vocal reptiles, possessing a complex acoustic signalling system including vocal and non‐vocal signals used for courtship, mating, mediating conflict, and providing maternal care. Despite this, research on crocodylian acoustic signalling remains infrequent, with methodologies and terminology varying widely across studies.
Sonnie A. Flores, Ross G. Dwyer, Stuart Parsons, Dominique A. Potvin   +3 more
wiley   +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

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

Numerical Approximation of the Singularly Perturbed Heat Equation in a Circle [PDF]

Journal of Scientific Computing, 2014
In this article we study the two dimensional singularly perturbed heat equation in a circular domain. The aim is to develop a numerical method with a uniform mesh, avoiding mesh refinement at the boundary thanks to the use of a relatively simple representation of the boundary layer. We provide the asymptotic expansion of the solution at first order and
openaire   +3 more sources

Hybrid Fitted Numerical Scheme for Singularly Perturbed Spatiotemporal Delay Differential Equations

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
In this study, a hybrid scheme is presented to solve a singularly perturbed time‐delay differential equation with a delay and advance term in the spatial variable. The scheme combines the midpoint upwind scheme and the cubic spline difference scheme in the outer and inner layer regions, respectively, on a nonuniform mesh for the spatial discretization,
Mulunesh Amsalu Ayele, Dagnachew Mengstie Tefera, Patricia J. Y. Wong   +2 more
wiley   +1 more source

Spline‐Based Computational Technique for Singularly Perturbed Fredholm Integro‐Differential Problems

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
In this work, using a spline‐based discretization, we develop a computational approach for singularly perturbed Fredholm integro‐differential equations. The scheme addresses the challenges of the singular perturbation parameter ϵ through a tension and compression spline technique, coupled with Simpson’s rule for quadrature approximations.
Rajagopal S., Dinesh Kumar S., Patricia J. Y. Wong   +2 more
wiley   +1 more source

Analytical Solutions and Computer Modeling of a Boundary Value Problem for a Nonstationary System of Nernst–Planck–Poisson Equations in a Diffusion Layer

Mathematics
This article proposes various new approximate analytical solutions of the boundary value problem for the non-stationary system of Nernst–Planck–Poisson (NPP) equations in the diffusion layer of an ideally selective ion-exchange membrane at overlimiting ...
Savva Kovalenko, Evgenia Kirillova, Vladimir Chekanov, Aminat Uzdenova, Mahamet Urtenov   +4 more
doaj   +1 more source

Overlapping domain decomposition method for singularly perturbed third order reaction-diffusion problems

Ain Shams Engineering Journal, 2018
In this paper, we present an analysis of overlapping Schwarz method for singularly perturbed third order reaction-diffusion problems. The Schwarz method invokes two fine mesh subdomains and one coarse mesh subdomain.
J. Christy Roja, A. Tamilselvan
doaj   +1 more source

Cuckoo Search Optimized Fractional Physics‐Informed Neural Networks for Fourth‐Order Time‐Fractional Partial Differential Equations

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Time‐fractional fourth‐order partial differential equations (PDEs) are typically important in the modeling of complex physical systems that have long‐memory effects and high‐order transverse spatial interaction. The paper presents a new hybrid method, called the Cuckoo Search–optimized fractional physics‐informed neural network (fPINN‐CS), that, to the
Ali Alkhathlan, Faris Kateb, Tauqeer Ahmad, Muhammad Sulaiman, Mohammed Abdullah Salman, Smritijit Sen   +5 more
wiley   +1 more source

Parameter uniform numerical method for fourth order singularly perturbed turning point problems exhibiting boundary layers

Ain Shams Engineering Journal, 2018
In this paper, a numerical method based on Shishkin mesh for a singularly perturbed fourth order differential equation with a turning point exhibiting boundary layers is presented. In this method the problem is transformed into a weakly coupled system of
N. Geetha, A. Tamilselvan
doaj   +1 more source