On graded meshes for a two-parameter singularly perturbed problem

DOI10.1016/j.amc.2016.01.060zbMath1410.65280OpenAlexW2284905204MaRDI QIDQ671198

Helena Zarin, Mirjana Brdar

Publication date: 20 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.01.060

zbMATH Keywords

Galerkin finite element methodsingularly perturbed problemgraded meshestwo small parameters

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (10)

QuadraticB-spline collocation method for two-parameter singularly perturbed problem on exponentially graded mesh ⋮ A uniformly convergent quadratic B-spline collocation method for singularly perturbed parabolic partial differential equations with two small parameters ⋮ A uniformly convergent scheme for two-parameter problems having layer behaviour ⋮ Local discontinuous Galerkin method on graded meshes for a third‐order singularly perturbed problem ⋮ Numerical study of a singularly perturbed two parameter problems on a modified Bakhvalov mesh ⋮ A modified graded mesh and higher order finite element approximation for singular perturbation problems ⋮ Exponentially graded mesh for a singularly perturbed problem with two small parameters ⋮ A singularly perturbed problem with two parameters in two dimensions on graded meshes ⋮ SDFEM for singularly perturbed boundary-value problems with two parameters ⋮ Numerical study of two-parameter singularly perturbed problem in two dimensions on an exponentially graded mesh

Uses Software

• bvptwp.m
• twpbvp
• twpbvpl
• acdc

Cites Work

• A singularly perturbed problem with two parameters on a Bakhvalov-type mesh
• Layer-adapted meshes for reaction-convection-diffusion problems
• Singular perturbation methods for ordinary differential equations
• Analysis of a finite-difference scheme for a singularly perturbed problem with two small parameters.
• An elliptic singularly perturbed problem with two parameters. I: Solution decomposition
• An elliptic singularly perturbed problem with two parameters. II: Robust finite element solution
• A parameter robust second order numerical method for a singularly perturbed two-parameter problem
• Finite element approximation of convection diffusion problems using graded meshes
• Superconvergence for finite element approximation of a convection-diffusion equation using graded meshes
• Algorithm 927
• Graded Meshes for Higher Order FEM
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• Deformations of the Bifurcation Diagram Due to Discretization
• Singularly Perturbed Problems Modeling Reaction-convection-diffusion Processes
• The Sdfem for a Convection-diffusion Problem with Two Small Parameters
• Layer-adapted meshes for one-dimensional reaction–convection–diffusion problems
• The Mathematical Theory of Finite Element Methods
• On the Asymptotic Solution of a Two-Parameter Boundary Value Problem of Chemical Reactor Theory
• The necessity of Shishkin decompositions

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