Results 51 to 60 of about 13,185 (200)

A variational approach to the quasistatic limit of viscous dynamic evolutions in finite dimension

, 2019
In this paper we study the vanishing inertia and viscosity limit of a second order system set in an Euclidean space, driven by a possibly nonconvex time-dependent potential satisfying very general assumptions.
Scilla, Giovanni, Solombrino, Francesco
core   +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

Uniform convergence on a Bakhvalov-type mesh using the preconditioning approach: Technical report [PDF]

, 2015
The linear singularly perturbed convection-diffusion problem in one dimension is considered and its discretization on a Bakhvalov-type mesh is analyzed. The preconditioning technique is used to obtain the pointwise convergence uniform in the perturbation
Nhan, Thái Anh, Vulanović, Relja
core   +2 more sources

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

Uniform asymptotic expansion of the solution for the initial value problem with a piecewise constant argument

Қарағанды университетінің хабаршысы. Математика сериясы
The article is devoted to the study of a singularly perturbed initial problem for a linear differential equation with a piecewise constant argument second-order for a small parameter.
A.E. Mirzakulova, K.T. Konisbayeva
doaj   +1 more source

A Numerical Study on the Difference Solution of Singularly Perturbed Semilinear Problem with Integral Boundary Condition

Mathematical Modelling and Analysis, 2016
The present study is concerned with the numerical solution, using finite difference method on a piecewise uniform mesh (Shishkin type mesh) for a singularly perturbed semilinear boundary value problem with integral boundary condition.
Musa Cakir
doaj   +1 more source

Singularly perturbed rank one linear operators

Математичні Студії, 2021
The basic principles of the theory of singularly perturbed self-adjoint operators are generalized to the case of closed linear operators with non-symmetric perturbation of rank one.
M.E. Dudkin, O. Yu. Dyuzhenkova
doaj   +1 more source

Singularly perturbed hyperbolic problems on metric graphs: asymptotics of solutions

, 2017
We are interested in evolution phenomena on star-like networks composed of several branches which vary considerably in physical properties. The initial boundary value problem for singularly perturbed hyperbolic differential equation on a metric graph is ...
Flyud, Volodymyr, Golovaty, Yuriy
core   +2 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

Numerical Analysis of the Shortest Queue Problem for a Time-Scalable Queuing System with a Small Parameter on a Non-Uniform Grid Scheme

Современные информационные технологии и IT-образование, 2022
In this paper, we use numerical methods using an uneven Shishkin grid to analyze the queue lengths of a time-scalable queuing system ( ) for which there is a Poisson incoming flow of requests with an intensity and service time , where is the service
Mohamed Adel Bouatta, Sergey Vasilyev, Shakhmurad Kanzitdinov, Galina Tsareva   +3 more
doaj   +1 more source