Uniform convergence difference schemes for singularly perturbed mixed boundary problems.

DOI10.1016/j.cam.2003.09.038zbMath1107.65333OpenAlexW2012255544MaRDI QIDQ1428485

Fawang Liu, Xin Cai

Publication date: 29 March 2004

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

Full work available at URL: https://doi.org/10.1016/j.cam.2003.09.038

zbMATH Keywords

singular perturbationuniform convergenceconservative difference schememixed boundary problemsfitted mesh difference scheme

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (8)

A brief survey on numerical methods for solving singularly perturbed problems ⋮ Fitted mesh numerical method for a coupled system of singularly perturbed reaction-diffusion Robin boundary value problem having boundary and internal layers ⋮ A uniformly convergent finite difference scheme for Robin type singularly perturbed parabolic convection diffusion problem ⋮ Unnamed Item ⋮ Parameter-uniform numerical methods for singularly perturbed mixed boundary value problems using grid equidistribution ⋮ A uniformly convergent hybrid scheme for singularly perturbed system of reaction-diffusion Robin type boundary-value problems ⋮ High accuracy non-equidistant method for singular perturbation reaction-diffusion problem ⋮ A third-order finite difference method on a quasi-variable mesh for nonlinear two point boundary value problems with Robin boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A uniformly convergent difference scheme for the singular perturbation of a self adjoint elliptic partial differential equation
• Global maximum norm parameter-uniform numerical method for a singularly perturbed convection-diffusion problem with discontinuous convec\-tion coefficient
• A Conservative Uniformly Accurate Difference Method for a Singular Perturbation Problem in Conservation Form
• Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
• A computationally efficient solution technique for moving-boundary problems in finite media

This page was built for publication: Uniform convergence difference schemes for singularly perturbed mixed boundary problems.