Results 81 to 90 of about 421,152 (262)
Numerical solution of a boundary value problem including both delay and boundary layer
Mathematical Modelling and Analysis, 2018 Difference method on a piecewise uniform mesh of Shishkin type, for a singularly perturbed boundary-value problem for a nonlinear second order delay differential equation is analyzed.
Erkan Cimen
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Ground State Properties of Simple Elements from GW Calculations
, 2009 A novel self-consistent implementation of Hedin's GW perturbation theory is introduced. This finite-temperature method uses Hartree-Fock wave functions to represent Green's function. GW equations are solved with full potential linear augmented plane wave
Andrey Kutepov +4 more
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Wave number-Explicit Analysis for Galerkin Discretizations of Lossy Helmholtz Problems [PDF]
, 2019 We present a stability and convergence theory for the lossy Helmholtz equation and its Galerkin discretization. The boundary conditions are of Robin type. All estimates are explicit with respect to the real and imaginary part of the complex wave number $\
Melenk, Jens M. +2 more
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Numerical Solution of a Singularly Perturbed Problem on a Circular Domain
Моделирование и анализ информационных систем, 2016 We consider a singularly perturbed elliptic problem, of convection-diffusion type, posed on a circular domain. Using polar coordinates, simple upwinding and a piecewise-uniform Shishkin mesh in the radial direction, we construct a numerical method that is
A. F. Hegarty, E. O’Riordan
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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. +2 more
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A robust DPG method for singularly perturbed reaction-diffusion problems
, 2017 We present and analyze a discontinuous Petrov-Galerkin method with optimal test functions for a reaction-dominated diffusion problem in two and three space dimensions. We start with an ultra-weak formulation that comprises parameters $\alpha$, $\beta$ to
Heuer, Norbert, Karkulik, Michael
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Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.This study introduces a fitted numerical approach for solving singularly perturbed time‐fractional parabolic differential equations incorporating a delay term. The stability of the method is rigorously examined using the comparison principle and solution bounds, while its convergence is analyzed through the barrier function approach and the Peano ...
Nuru Ahmed Endrie +2 more
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Partial Differential Equations in Applied MathematicsAn efficient numerical technique for a singularly perturbed parabolic reaction–diffusion problem with Robin type boundary conditions is presented in this work.
Fasika Wondimu Gelu +1 more
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A parameter uniform fitted mesh method for a weakly coupled system of two singularly perturbed convection-diffusion equations [PDF]
, 2018 In this paper, a boundary value problem for a singularly perturbed linear system of two second order ordinary differential equations of convection- diffusion type is considered on the interval [0, 1]. The components of the solution of this system exhibit
Kalaiselvan, Saravana Sankar +2 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.This paper presents a class of singularly perturbed parabolic‐type reaction diffusion problems. Due to the presence of a small parameter ε, (0 < ε ≪ 1) as a diffusion coefficient, the proposed problem exhibits twin boundary layers in the neighborhood of the end points of the spatial domain near x = 0 and x = 1.
Amare Worku Demsie +3 more
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