Results 81 to 90 of about 1,916 (200)

Analysis of formulas for numerical differentiation of functions with large gradients on a Bakhvalov mesh

Учёные записки Казанского университета: Серия Физико-математические науки, 2021
The article gives an estimate of the error of the classical formulas for the numerical differentiation of a function of one variable with large gradients in the exponential boundary layer.
N.A. Zadorin
doaj   +1 more source

Shishkin mesh simulation: A new stabilization technique for convection–diffusion problems [PDF]

Computer Methods in Applied Mechanics and Engineering, 2013
Abstract A new stabilization procedure is presented. It is based on a simulation of the interaction between the coarse and fine parts of a Shishkin mesh, but can be applied on coarse and irregular meshes and on domains with nontrivial geometries. The technique, which does not require adjusting any parameter, can be applied to different stabilized and
openaire   +1 more source

Fitted Numerical Scheme for Singularly Perturbed Convection‐Diffusion Equation with Small Time Delay

International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.
In this article, a uniformly convergent numerical scheme is developed to solve a singularly perturbed convection‐diffusion equation with a small delay having a boundary layer along the left side. A priori bounds of continuous solution and its derivatives are discussed.
Sisay Ketema Tesfaye, Mesfin Mekuria Woldaregay, Tekle Gemechu Dinka, Gemechis File Duressa, Ayesha Ikram   +4 more
wiley   +1 more source

Role of spin-orbit coupling and evolution of the electronic structure of WTe$_2$ under an external magnetic field

, 2015
Here, we present a detailed study on the temperature and angular dependence of the Shubnikov-de-Haas (SdH) effect in the semi-metal WTe$_2$. This compound was recently shown to display a very large non-saturating magnetoresistance which was attributed to
Balicas, L., Das, S., Kikugawa, N., Manousakis, E., Pradhan, N. R., Rhodes, D., Zeng, B., Zhang, Q. R.   +7 more
core   +1 more source

Advantages of the Samarskii-type schemes on the Shishkin mesh

Journal of Computational and Applied Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Relja Vulanović, Thái Anh Nhan
openaire   +2 more sources

Parameter‐Uniform Convergent Numerical Approach for Time‐Fractional Singularly Perturbed Partial Differential Equations With Large Time Delay

Computational and Mathematical Methods, Volume 2024, Issue 1, 2024.
In this study, we consider a parameter‐uniform convergent numerical approach for a class of time‐fractional singularly perturbed partial differential equations (TF‐SPDPDEs) with large delay in time that exhibits a regular exponential boundary layer on the right side of the spatial domain.
Habtamu Getachew Kumie, Awoke Andargie Tiruneh, Getachew Adamu Derese, Higinio Ramos   +3 more
wiley   +1 more source

Second order parameter-uniform convergence for a finite difference method for a singularly perturbed linear reaction-diffusion system [PDF]

, 2010
A singularly perturbed linear system of second order ordinary differential equations of reaction-diffusion type with given boundary conditions is considered. The leading term of each equation is multiplied by a small positive parameter.
Miller, J. J. H., Paramasivam, M., Valarmathi, S.   +2 more
core   +2 more sources

Remarkable effect of stacking on the electronic and optical properties of few layer black phosphorus

, 2015
The effect of the number of stacking layers and the type of stacking on the electronic and optical properties of bilayer and trilayer black phosphorus are investigated by using first principles calcula- tions within the framework of density functional ...
Cakir, Deniz, Peeters, Francois M., Sevik, Cem   +2 more
core   +1 more source

Fitted Tension Spline Scheme for a Singularly Perturbed Parabolic Problem With Time Delay

Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.
A fitted tension spline numerical scheme for a singularly perturbed parabolic problem (SPPP) with time delay is proposed. The presence of a small parameter ε as a multiple of the diffusion term leads to the suddenly changing behaviors of the solution in the boundary layer region.
Sisay Ketema Tesfaye, Gemechis File Duressa, Tekle Gemechu Dinka, Mesfin Mekuria Woldaregay, Tudor Barbu   +4 more
wiley   +1 more source

A robust computational technique for a system of singularly perturbed reaction–diffusion equations

International Journal of Applied Mathematics and Computer Science, 2014
In this paper, a singularly perturbed system of reaction–diffusion Boundary Value Problems (BVPs) is examined. To solve such a type of problems, a Modified Initial Value Technique (MIVT) is proposed on an appropriate piecewise uniform Shishkin mesh.
Kumar Vinod, Bawa Rajesh K., Lal Arvind K.   +2 more
doaj   +1 more source