Results 31 to 40 of about 421,152 (262)
Efficient generation of Shishkin meshes in solving convection-diffusion problems
Irish Mathematical Society Bulletin, 1996 Niall Madden, Martin Stynes
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Networks and Heterogeneous MediaIn this paper, a novel second-order numerical method on a Shishkin mesh is constructed to solve a singularly perturbed Volterra integro-differential equation.
Jiwen Chen +3 more
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Supercloseness of the HDG method on Shishkin mesh for a singularly perturbed convection diffusion problem in 2D [PDF]
Journal of Scientific ComputingThis paper presents the first analysis of parameter-uniform convergence for a hybridizable discontinuous Galerkin (HDG) method applied to a singularly perturbed convection-diffusion problem in 2D using a Shishkin mesh.
Xiaoqi Ma, Jin Zhang
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A Mixed Finite Element Method for Singularly Perturbed Fourth Oder Convection-Reaction-Diffusion Problems on Shishkin Mesh [PDF]
arXiv.org, 2023 This paper introduces an approach to decoupling singularly perturbed boundary value problems for fourth-order ordinary differential equations that feature a small positive parameter $\epsilon$ multiplying the highest derivative.
Charuka D. Wickramasinghe
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A Modification of the Shishkin Discretization Mesh [PDF]
PAMM, 2013 AbstractIn this paper we consider a modification of the Shishkin discretization mesh designed for the numerical solution of one‐dimensional linear convection‐diffusion singularly perturbed problems. The modification consists of a slightly different choice of the transition point between the fine and coarse parts of the mesh.
Relja Vulanović, Ljiljana Teofanov
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Uniform convergence of optimal order of a local discontinuous Galerkin method on a Shishkin mesh under a balanced norm [PDF]
arXiv.org, 2023 This article investigates a local discontinuous Galerkin (LDG) method for one-dimensional and two-dimensional singularly perturbed reaction-diffusion problems on a Shishkin mesh.
Xiaoqi Ma, Jin Zhang, Wenchao Zheng
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A fitted second--order difference scheme on a modified Shishkin mesh for a semilinear singularly-perturbed boundary-value problem [PDF]
arXiv.org, 2022 In the present paper we consider the numerical solving of a semilinear singular–perturbation reaction– diffusion boundary–value problem having boundary layers.
Samir Karasuljić, Irma Zenunović
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AIMS Mathematics, 2023 This article focuses on a class of fourth-order singularly perturbed convection diffusion equations (SPCDE) with integral boundary conditions (IBC). A numerical method based on a finite difference scheme using Shishkin mesh is presented.
V. Raja +3 more
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Journal of Physics: Conference Series, 2022 A two-dimensional linear elliptic equation with regular boundary layers is considered in the unit square. It is solved by using an upwind difference scheme on the Shishkin mesh which converges uniformly with respect to a small perturbation parameter. The
S. V. Tikhovskaya
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Ratio Mathematica, 2023 A linear system of ’n’ second order ordinary differential equations of reaction-diffusion type with discontinuous source terms is considered. On a piecewise uniform Shishkin mesh, a numerical system is built that employs the finite element method.
Vinoth Maruthamuthu +1 more
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