Results 101 to 110 of about 421,152 (262)
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 +4 more
wiley +1 more source
An adaptive octree finite element method for PDEs posed on surfaces
, 2014 The paper develops a finite element method for partial differential equations posed on hypersurfaces in $\mathbb{R}^N$, $N=2,3$. The method uses traces of bulk finite element functions on a surface embedded in a volumetric domain. The bulk finite element
Chernyshenko, Alexey Y. +1 more
core +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 +2 more
openaire +1 more source
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 +3 more
wiley +1 more source
Macro-element interpolation on tensor product meshes [PDF]
, 2014 A general theory for obtaining anisotropic interpolation error estimates for macro-element interpolation is developed revealing general construction principles.
Schopf, Martin
core
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 +4 more
wiley +1 more source
Uniform convergence on a Bakhvalov-type mesh using the preconditioning approach: Technical report [PDF]
, 2015 The linear singularly perturbed convection-diffusion problem in one dimension is considered and its discretization on a Bakhvalov-type mesh is analyzed. The preconditioning technique is used to obtain the pointwise convergence uniform in the perturbation
Nhan, Thái Anh, Vulanović, Relja
core +2 more sources
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 +4 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
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 +3 more
doaj +1 more source