High accuracy non-equidistant method for singular perturbation reaction-diffusion problem

DOI10.1007/s10483-009-0205-8zbMath1165.65048OpenAlexW2048563421MaRDI QIDQ1016183

Rui-qian Wu, Xin Cai, Dan-lin Cai, Kang-He Xie

Publication date: 4 May 2009

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-009-0205-8

zbMATH Keywords

numerical resultssingular perturbationuniform convergencereaction-diffusiondifference methodhigh accuracynon-equidistant method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (4)

REDUCED MULTISCALE COMPUTATION ON ADAPTED GRID FOR THE CONVECTION-DIFFUSION ROBIN PROBLEM ⋮ Error Analysis for a Non-Monotone FEM for a Singularly Perturbed Problem with Two Small Parameters ⋮ Rational spectral collocation and differential evolution algorithms for singularly perturbed problems with an interior layer ⋮ A robust adaptive grid method for a nonlinear singularly perturbed differential equation with integral boundary condition

Cites Work

• A finite difference analysis of a streamline diffusion method on a Shishkin mesh
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• A conservative difference scheme for conservative differential equation with periodic boundary
• A hybrid difference scheme for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient
• High order methods for elliptic and time dependent reaction-diffusion singularly perturbed problems
• Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
• On a uniformly accurate finite difference approximation of a singularly perturbed reaction-diffusion problem using grid equidistribution
• Unnamed Item

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