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2020 Accelerated Exponentially Fitted Operator Method for Singularly Perturbed Problems with Integral Boundary Condition
Habtamu Garoma Debela, Gemechis File Duressa
Int. J. Differ. Equ. 2020: 1-8 (2020). DOI: 10.1155/2020/9268181

Abstract

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 ε -uniformly convergent.

Citation

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Habtamu Garoma Debela. Gemechis File Duressa. "Accelerated Exponentially Fitted Operator Method for Singularly Perturbed Problems with Integral Boundary Condition." Int. J. Differ. Equ. 2020 1 - 8, 2020. https://doi.org/10.1155/2020/9268181

Information

Received: 4 December 2019; Accepted: 17 February 2020; Published: 2020
First available in Project Euclid: 14 May 2020

MathSciNet: MR4080303
Digital Object Identifier: 10.1155/2020/9268181

Rights: Copyright © 2020 Hindawi

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