Results 51 to 60 of about 1,916 (200)
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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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
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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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Journal of Mathematics, 2021 In this paper, we consider a class of singularly perturbed advanced-delay differential equations of convection-diffusion type. We use finite and hybrid difference schemes to solve the problem on piecewise Shishkin mesh.
P. Hammachukiattikul +5 more
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, 2015 We consider the solution of large linear systems of equations that arise when two-dimensional singularly perturbed reaction-diffusion equations are discretized.
Madden, Niall, Nhan, Thái Anh
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Finite element superconvergence on Shishkin mesh for 2-D convection-diffusion problems [PDF]
Mathematics of Computation, 2003 This paper deals with the standard finite element method combined with a Shishkin mesh strategy for a convection-diffusion problem \[ -\varepsilon\Delta u+ \vec\beta\nabla u+ cu= f\text{ in }\Omega= (0,1)\times (0, 1),\;u= 0\text{ on }\partial\Omega, \] where \(\varepsilon\) is a small positive number.
openaire +2 more sources
Hybrid Fitted Numerical Scheme for Singularly Perturbed Spatiotemporal Delay Differential Equations
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.In this study, a hybrid scheme is presented to solve a singularly perturbed time‐delay differential equation with a delay and advance term in the spatial variable. The scheme combines the midpoint upwind scheme and the cubic spline difference scheme in the outer and inner layer regions, respectively, on a nonuniform mesh for the spatial discretization,
Mulunesh Amsalu Ayele +2 more
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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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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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, 2017 We consider an approximate solution for the one-dimensional semilinear singularly-perturbed boundary value problem, using the previously obtained numerical values of the boundary value problem in the mesh points and the representation of the exact ...
Barakovic, Elvis +3 more
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