Accelerated exponentially fitted operator method for singularly perturbed problems with integral boundary condition
type: Item
instance of: scholarly article
title: Accelerated exponentially fitted operator method for singularly perturbed problems with integral boundary condition
zbMATH Open document ID: 1472.65091
DOI: 10.1155/2020/9268181
author: Habtamu Garoma Debela
author: Gemechis File Duressa
published in: International Journal of Differential Equations
publication date: 2021-05-19T00:00:00Z
review text: Summary: In this paper, we consider a class of singularly perturbed differential equations of convection diffusion type with integral boundary condition. An accelerated uniformly convergent numerical method is constructed via exponentially fitted operator method using Richardson extrapolation techniques and numerical integration methods to solve the problem. The integral boundary condition is treated using numerical integration techniques. Maximum absolute errors and rates of convergence for different values of perturbation parameter and mesh sizes are tabulated for the numerical example considered. The method is shown to be \(\varepsilon \)-uniformly convergent.
Mathematics Subject Classification ID: 65L11
Mathematics Subject Classification ID: 34E15
zbMATH DE Number: 7349537
zbMATH Keywords: singularly perturbed differential equations
zbMATH Keywords: convection diffusion problem
zbMATH Keywords: integral boundary condition
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/9268181
OpenAlex ID: W3012427697
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description: scientific article; zbMATH DE number 7349537