A second-order adaptive grid method for a nonlinear singularly perturbed problem with an integral boundary condition

DOI10.1016/j.cam.2020.113205zbMath1462.65088OpenAlexW3087009347MaRDI QIDQ2222153

Li-Bin Liu, Zhongdi Cen, Aimin Xu

Publication date: 3 February 2021

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.2020.113205

zbMATH Keywords

uniform convergencesingularly perturbed problemadaptive grid algorithmhybrid finite difference scheme

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (4)

Solving a singular beam equation by the method of energy boundary functions ⋮ Asymptotics of the solution to a stationary piecewise-smooth reaction-diffusion-advection equation ⋮ Convergence analysis of Richardson extrapolation for a quasilinear singularly perturbed problem with an integral boundary condition on an adaptive grid ⋮ Richardson Extrapolation Method on an Adaptive Grid for Singularly Perturbed Volterra Integro-Differential Equations

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