Accelerated Exponentially Fitted Operator Method for Singularly Perturbed Problems with Integral Boundary Condition

Habtamu Garoma Debela and Gemechis File Duressa

International Journal of Differential Equations, 2020, vol. 2020, 1-8

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 - uniformly convergent.

Date: 2020
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJDE/2020/9268181.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJDE/2020/9268181.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:9268181

DOI: 10.1155/2020/9268181

Access Statistics for this article

More articles in International Journal of Differential Equations from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().