Results 91 to 100 of about 1,916 (200)

A new second-order difference approximation for nonlocal boundary value problem with boundary layers

Mathematical Modelling and Analysis, 2020
The aim of this paper is to present finite difference method for numerical solution of singularly perturbed linear differential equation with nonlocal boundary condition.
Derya Arslan
doaj   +1 more source

Supercloseness of the SDFEM on Shishkin triangular meshes for problems with exponential layers [PDF]

Advances in Computational Mathematics, 2016
In this paper, we analyze the supercloseness property of the streamline diffusion finite element method (SDFEM) on Shishkin triangular meshes, which is different from one in the case of rectangular meshes. The analysis depends on integral inequalities for the part related to the diffusion in the bilinear form.
Zhang, Jin, Liu, Xiaowei
openaire   +3 more sources

A Direct Infection Risk Model for CFD Predictions and Its Application to SARS‐CoV‐2 Aircraft Cabin Transmission

Indoor Air, Volume 2024, Issue 1, 2024.
Current models to determine the risk of airborne disease infection are typically based on a backward quantification of observed infections, leading to uncertainties, e.g., due to the lack of knowledge whether the index person was a superspreader. In contrast, the present work presents a forward infection risk model that calculates the inhaled dose of ...
Florian Webner, Andrei Shishkin, Daniel Schmeling, Claus Wagner, Geun Young Yun   +4 more
wiley   +1 more source

Local Projection Stabilization Method of Convective-Diffusion Problem on Shishkin Triangular Mesh

, 2023
In this paper, a singularly perturbed convection-diffusion problem with exponential boundary layers is considered. For this problems, we study a local projection stabilization method on a Shishkin triangular mesh. If piecewise polynomials of order r ≥ 1 are used, the method has uniform convergence of almost order r in the energy norm.
Liu, Shasha, Liu, Xiaowei
openaire   +1 more source

Crank–Nicolson Method for Singularly Perturbed Unsteady Parabolic Problem With Multiple Boundary Turning Points

Advances in Mathematical Physics, Volume 2024, Issue 1, 2024.
In this paper, a numerical scheme for a time‐dependent singularly perturbed parabolic convection–diffusion problem with boundary turning points is presented. The problem exhibits a left boundary layer in the spatial domain. We use the Crank–Nicolson method for temporal discretization and a nonstandard finite difference approach for spatial ...
Yimesgen Mehari Kebede, Awoke Andargie Tiruneh, Endalew Getnet Tsega, Ivan Giorgio   +3 more
wiley   +1 more source

A numerical scheme for singularly perturbed delay differential equations of convection-diffusion type on an adaptive grid

Mathematical Modelling and Analysis, 2018
In this paper, an adaptive mesh strategy is presented for solving singularly perturbed delay differential equation of convection-diffusion type using second order central finite difference scheme.
Pramod P. Chakravarthy, Trun Gupta, Nageshwar R. Rao   +2 more
doaj   +1 more source

A Parameter Uniform Almost First Order Convergent Numerical Method for a Semi-Linear System of Singularly Perturbed Delay Differential Equations

Biomath, 2014
In this paper an initial value problem for asemi-linear system of two singularly perturbed first order delay differential equations is considered on the interval(0,2]. The components of the solution of this system exhibit initial layers at 0 and interior
Nagaranjan Shivaranjan, John J H Miller, Sigmani Valarmathi   +2 more
doaj   +1 more source

Native point defects in few-layer phosphorene

, 2015
Using hybrid density functional theory combined with a semiempirical van der Waals dispersion correction, we have investigated the structural and electronic properties of vacancies and self-interstitials in defective few-layer phosphorene.
Geng, W. T., Kawazoe, Y., Wang, V.
core   +1 more source

Shishkin meshes in the numerical solution of singularly perturbed differential equations

, 2010
peer ...
Kopteva, Natalia, O'Riordan, Eugene
openaire   +1 more source

Exact difference approach on the Shishkin mesh for solving time fractional singularly perturbed parabolic PDE

Partial Differential Equations in Applied Mathematics
A novel approach has been introduced to address time-fractional singularly perturbed parabolic partial differential equations. This method utilizes the L1-Caputo finite difference technique to approximate the fractional derivative term and employs an ...
Mesfin Mekuria Woldaregay, Tibebu Worku Hunde   +1 more
doaj   +1 more source