Results 71 to 80 of about 1,916 (200)

Hybrid method for singularly perturbed Robin type parabolic convection–diffusion problems on Shishkin mesh

Partial Differential Equations in Applied Mathematics, 2023
This work presents a numerical solution to singularly perturbed Robin-type parabolic convection–diffusion problems. A hybrid method that combines the central difference scheme in the inner region and the midpoint of the upwind scheme in the outer region ...
Fasika Wondimu Gelu, Gemechis File Duressa   +1 more
doaj   +1 more source

Hybrid Fitted Mesh Strategy for Singularly Perturbed Time‐Dependent Convection‐Diffusion Problems Featuring Boundary Turning Points

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
This work investigates the solution of convection‐diffusion parabolic partial‐differential problems with boundary turning points that are singularly perturbed. These types of problems are stiff for the following reason: the small parameter multiplying coefficient of the diffusion term and the presence of boundary turning points.
Yimesgen Mehari Kebede, Awoke Andargie Tiruneh, Endalew Getnet Tsega, Mohamed A. Eltaher   +3 more
wiley   +1 more source

Some uniformly convergent schemes on Shishkin mesh

Novi Sad Journal of Mathematics - NSJOM, 1998
Given the selfadjoint problem \[ \begin{gathered} Ly\equiv-\varepsilon y''+p(x)y=f(x),\quad x\in I=(0,1)\\ y(0)=0,\quad y(1))=0 \end{gathered} \] where \(00\), a difference scheme on the non-uniform mesh was derived by the use of cubic spline. The proposed scheme is analyzed and proved to be uniformly convergent with the order \(O(n^{-2}\ln^2n)\).
Vukoslavčević, Vanja, Surla, Katarina, Rapajić, Sanja   +2 more
openaire   +1 more source

A Uniformly Convergent Scheme for Singularly Perturbed Unsteady Reaction–Diffusion Problems

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
In the present work, a class of singularly perturbed unsteady reaction–diffusion problem is considered. With the existence of a small parameter ε, (0 < ε ≪ 1) as a coefficient of the diffusion term in the proposed model problem, there exist twin boundary layer regions near the left end point x = 0 and right end point x = 1 of the spatial domain.
Amare Worku Demsie, Awoke Andargie Tiruneh, Endalew Getnet Tsega, Tudor Barbu   +3 more
wiley   +1 more source

Interior layers in a reaction-diffusion equation with a discontinuous diffusion coefficient [PDF]

, 2010
In this paper a problem arising in the modelling of semiconductor devices motivates the study of singularly perturbed differential equations of reaction–diffusion type with discontinuous data.
C. de Falco, E. O'Riordan
core  

Hybrid functional study of proper and improper multiferroics

, 2010
We present a detailed study of the structural, electronic, magnetic and ferroelectric properties of prototypical \textit{proper} and \textit{improper} multiferroic (MF) systems such as BiFeO$_{3}$ and orthorhombic HoMnO$_{3}$, respectively, within ...
A. Stroppa, Adamo, Alonso, Anisimov, Anisimov, Aryasetiawan, Aulbur, Bachelet, Basu, Becke, Bilc, Blöchl, Boysen, Cheong, Corà, Corà, Droghetti, Ederer, Ernzerhof, Ernzerhof, Fiebig, Filippetti, Filippetti, Fuchs, Gao, Gavriliuk, Ghita, Goffinet, Hay, Heifets, Henkelman, Heyd, Heyd, Heyd, Higuchi, Hur, Hybertsen, Janesko, Kanai, Khomskii, Kimura, King-Smith, Koichi, Kornev, Kresse, Kresse, Krukau, Kubel, Kumar, Kümmel, Lebeugle, Lorenz, Lufaso, Marsman, Munoz, Muscat, Neaton, Paier, Palai, Pemmaraju, Perdew, Perdew, Perdew, Picozzi, Pomjakushin, Prodan, Prodan, Ravindran, Resta, Rinke, Rohrbach, S. Picozzi, Sanville, Sergienko, Shishkin, Shishkin, Shishkin, Singh, Singh, Solovyev, Sosnowska, Spaldin, Stengel, Stephens, Stroppa, Stroppa, Stroppa, Suewattana, Svane, Tachibana, Tang, Vanderbilt, Wahl, Wang, Wu, Yamauchi   +95 more
core   +1 more source

An Exponentially Fitted Upwind Scheme for Singularly Perturbed Differential Equations With Mixed Shift Parameters

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This paper provides numerical solutions to a class of singularly perturbed differential–difference equations characterized by mixed shift parameters. The solutions of such problems exhibit sharp boundary layers near the endpoints of the spatial domain due to the presence of a small perturbation parameter ε(0 < ε ≪ 1).
Amare Worku Demsie, Awoke Andargie Tiruneh, Endalew Getnet Tsega, Luigi Rarità   +3 more
wiley   +1 more source

A Numerical Method for a Singularly Perturbed Three-Point Boundary Value Problem

Journal of Applied Mathematics, 2010
The purpose of this paper is to present a uniform finite difference method for numerical solution of nonlinear singularly perturbed convection-diffusion problem with nonlocal and third type boundary conditions.
Musa Çakır, Gabil M. Amiraliyev
doaj   +1 more source

A parameter uniform almost first order convergent numerical method for non-linear system of singularly perturbed differential equations

Biomath, 2016
In this paper an initial value problem for a non-linear system of two singularly perturbed first order differential equations is considered on the interval (0,1]. The components of the solution of this system exhibit initial layers at 0.
Ishwariya Raj, Princy Mercy Johnson, John J.H Miller, Valarmathi Sigamani   +3 more
doaj   +1 more source

A Numerical Approach for Diffusion-Dominant Two-Parameter Singularly Perturbed Delay Parabolic Differential Equations

International Journal of Mathematics and Mathematical Sciences, 2023
A numerical scheme is developed to solve a large time delay two-parameter singularly perturbed one-dimensional parabolic problem in a rectangular domain.
Solomon Woldu Worku, Gemechis File Duressa   +1 more
doaj   +1 more source