Results 21 to 30 of about 1,916 (200)
Abstract and Applied Analysis, 2021 In this article, a numerical solution is proposed for singularly perturbed delay parabolic reaction-diffusion problem with mixed-type boundary conditions.
Fasika Wondimu Gelu +1 more
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Results in Applied Mathematics, 2022 In this work, a numerical method for the singularly perturbed parabolic convection–diffusion turning point problem with Robin boundary condition was developed.
Fasika Wondimu Gelu +1 more
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Results in Control and Optimization, 2023 In this paper, a parameter uniform computational technique is examined for a partially singularly perturbed semi-linear system of equations which models the flight dynamics of an Unmanned Aerial Vehicle (UAV) and a Helicopter.
K. Saravana Sankar +1 more
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Analysis of SDFEM on Shishkin Triangular Meshes and Hybrid Meshes for Problems with Characteristic Layers [PDF]
Journal of Scientific Computing, 2016 In this paper, we analyze the streamline diffusion finite element method (SDFEM) for a model singularly perturbed convection-diffusion equation on a Shishkin triangular mesh and hybrid meshes. Supercloseness property of $u^I-u^N$ is obtained, where $u^I$ is the interpolant of the solution $u$ and $u^N$ is the SDFEM's solution.
Zhang, Jin, Liu, Xiaowei
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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 +2 more
wiley +1 more source
A Parameter Uniform Numerical Scheme for Singularly Perturbed Differential-difference Equations with Mixed Shifts [PDF]
Journal of Applied and Computational Mechanics, 2020 In this paper, we consider a second-order singularly perturbed differential-difference equations with mixed delay and advance parameters. At first, we approximate the model problem by an upwind finite difference scheme on a Shishkin mesh.
P. Mushahary, S. R. Sahu, J. Mohapatra
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A parameter robust numerical method for a two dimensional reaction-diffusion problem. [PDF]
, 2005 In this paper a singularly perturbed reaction-diffusion partial differential equation in two space dimensions is examined. By means of an appropriate decomposition, we describe the asymptotic behaviour of the solution of problems of this kind.
Clavero, C. +2 more
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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
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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.
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Adaptive time-stepping for incompressible flow part I: scalar advection-diffusion [PDF]
, 2007 Even the simplest advection-diffusion problems can exhibit multiple time scales. This means that robust variable step time integrators are a prerequisite if such problems are to be efficiently solved computationally.
Gresho, Philip M. +2 more
core +3 more sources