Results 21 to 30 of about 225 (176)

Neural signatures of memory gain through active exploration in an oculomotor‐auditory learning task

Psychophysiology, Volume 60, Issue 10, October 2023., 2023
Abstract Active engagement improves learning and memory, and self‐ versus externally generated stimuli are processed differently: perceptual intensity and neural responses are attenuated. Whether the attenuation is linked to memory formation remains unclear. This study investigates whether active oculomotor control over auditory stimuli—controlling for
Stefanie Sturm, Jordi Costa‐Faidella, Iria SanMiguel   +2 more
wiley   +1 more source

Fitted finite difference method for third order singularly perturbed convection diffusion equations with integral boundary condition

Arab Journal of Mathematical Sciences, 2019
A class of third order singularly perturbed convection diffusion type equations with integral boundary condition is considered. A numerical method based on a finite difference scheme on a Shishkin mesh is presented.
Velusamy Raja, Ayyadurai Tamilselvan
doaj   +1 more source

A high-order finite difference scheme for a singularly perturbed reaction-diffusion problem with an interior layer

Advances in Difference Equations, 2017
In this paper, we consider a singularly perturbed reaction-diffusion problem with a discontinuous source term. Boundary and interior layers appear in the solution.
Zhongdi Cen, Anbo Le, Aimin Xu
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

HODIE finite difference schemes on generalized Shishkin meshes

Journal of Computational and Applied Mathematics, 2004
The authors study a class of HODIE finite difference schemes for solving singular perturbation problems for one-dimensional linear diffusion-convection problems. The method uses a nonuniform Shishkin mesh to concentrate points in the boundary layer.
Clavero, C., Gracia, J. L.
openaire   +1 more source

An hybrid initial value method for singularly perturbed delay differential equations with interior layers and weak boundary layer

Ain Shams Engineering Journal, 2018
In this paper, an hybrid initial value method on Shishkin mesh is suggested to solve singularly perturbed boundary value problem for second order ordinary delay differential equation with discontinuous convection coefficient and source term.
V. Subburayan
doaj   +1 more source

Fitted-mesh cubic spline methods for layer-dominated singularly perturbed parabolic problems with non-smooth data [PDF]

Iranian Journal of Numerical Analysis and Optimization
This paper introduces a numerical framework for addressing a two-parameter singularly perturbed parabolic problem characterized by discontinuities in both the convection coefficients and the source terms.
Shegaye Cheru, Gemechis Duressa, Tariku Mekonnen   +2 more
doaj   +1 more source

Comparison of adaptive meshes for a singularly perturbed reaction–diffusion problem

Mathematical Modelling and Analysis, 2012
We consider a singular second-order boundary value problem. The differential problem is approximated by the Galerkin finite element scheme. The main goal is to compare the well known apriori Bakhvalov and Shishkin meshes with the adaptive mesh based on ...
Andrej Bugajev, Raimondas Čiegis
doaj   +1 more source

An efficient numerical approach for solving singularly perturbed parabolic differential equations with large negative shift and integral boundary condition

Applied Mathematics in Science and Engineering, 2023
In this study, we consider singularly perturbed large negative shift parabolic reaction–diffusion with integral boundary condition. The continuous solution's properties are discussed.
Wakjira Tolassa Gobena, Gemechis File Duressa   +1 more
doaj   +1 more source

Asymptotic and numerical methods for solving singularly perturbed differential difference equations with mixed shifts [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2022
This article deals with an effcient approximation method named successive complementary expansion method (SCEM) for solving singularly perturbed differential-difference equations with mixed shifts.
S. Priyadarshana, S.R. Sahu, J. Mohapatra   +2 more
doaj   +1 more source