Convergence analysis of Richardson extrapolation for a quasilinear singularly perturbed problem with an integral boundary condition on an adaptive grid

DOI10.1016/j.aml.2020.106976zbMath1466.65070OpenAlexW3114254791MaRDI QIDQ1996366

Xiu Yang, Li-Bin Liu

Publication date: 4 March 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106976

zbMATH Keywords

uniform convergenceRichardson extrapolationsingularly perturbedadaptive grid

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Extrapolation to the limit, deferred corrections (65B05) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Singular perturbations for ordinary differential equations (34E15) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (1)

Richardson Extrapolation Method on an Adaptive Grid for Singularly Perturbed Volterra Integro-Differential Equations

Cites Work

• Richardson extrapolation for a singularly perturbed turning point problem with exponential boundary layers
• A numerical treatment for singularly perturbed differential equations with integral boundary condition
• Samoilenko's method to differential algebraic systems with integral boundary conditions
• A parameter uniform difference scheme for the parameterized singularly perturbed problem with integral boundary condition
• Richardson extrapolation for a convection--diffusion problem using a Shishkin mesh
• Boundary layer flow of fractional Maxwell fluid over a stretching sheet with variable thickness
• A second-order adaptive grid method for a nonlinear singularly perturbed problem with an integral boundary condition
• A robust adaptive grid method for a nonlinear singularly perturbed differential equation with integral boundary condition
• Grid equidistribution for reaction-diffusion problems in one dimension
• Richardson Extrapolation Method for SingularlyPerturbed Convection-Diffusion Problems on AdaptivelyGenerated Mesh
• Numerical solution of the one-dimensional wave equation with an integral condition
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• Integral boundary conditions for unsteady biomedical CFD applications
• Error expansion for a first-order upwind difference scheme applied to a model convection-diffusion problem
• A NUMERICAL STUDY ON THE DIFFERENCE SOLUTION OF SINGULARLY PERTURBED SEMILINEAR PROBLEM WITH INTEGRAL BOUNDARY CONDITION

This page was built for publication: Convergence analysis of Richardson extrapolation for a quasilinear singularly perturbed problem with an integral boundary condition on an adaptive grid