Results 41 to 50 of about 421,152 (262)
A Cascadic Multigrid Algorithm on the Shishkin Mesh for a Singularly Perturbed Elliptic Problem
, 2021 A two-dimensional linear elliptic problem with parabolic and regular boundary layers is considered in the unit square. It is solved by using an upwind difference scheme on the Shishkin mesh which converges uniformly with respect to a small perturbation ...
S. V. Tikhovskaya
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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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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
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Numerical Solution of Singularly Perturbed Two Parameter Problems using Exponential Splines
International Journal of Applied Mechanics and Engineering, 2021 In this paper, we have studied a method based on exponential splines for numerical solution of singularly perturbed two parameter boundary value problems. The boundary value problem is solved on a Shishkin mesh by using exponential splines.
P. Padmaja +3 more
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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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Journal of Geophysical Research: Planets, Volume 128, Issue 4, April 2023., 2023 Abstract Seismic activity generated by impacts depends on impact conditions and properties of the impact site. Here, we combined mapping of the regolith thickness with numerical impact simulations to better estimate the seismic efficiency and seismic moment generated in small impact events in the uppermost crust on Mars.
A. Rajšić +8 more
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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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Mathematical Methods in the Applied Sciences, Volume 46, Issue 2, Page 2117-2132, 30 January 2023., 2023 We construct an efficient hybrid numerical method for solving coupled systems of singularly perturbed linear parabolic problems of reaction‐diffusion type. The discretization of the coupled system is based on the use of an additive or splitting scheme on a uniform mesh in time and a hybrid scheme on a layer‐adapted mesh in space.
Sunil Kumar +3 more
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