Abstract
This paper presents the study of singularly perturbed differential equations of convection-diffusion type with nonlocal boundary condition. The proposed numerical scheme is a combination of the classical finite difference method for the boundary conditions and exponential fitted operator method for the differential equations at the interior points. Maximum absolute errors and rates of convergence for different values of perturbation parameter and mesh sizes are tabulated for the numerical examples considered. The method is shown to be first-order accuracy independent of the perturbation parameter .
Acknowledgments
The author wish to express their thanks to Jimma University, College of Natural Sciences, for financial support, and the authors of the literature for the provided scientific aspects and idea for this work.
Citation
Habtamu Garoma Debela. "Exponential Fitted Operator Method for Singularly Perturbed Convection-Diffusion Type Problems with Nonlocal Boundary Condition." Abstr. Appl. Anal. 2021 1 - 9, 2021. https://doi.org/10.1155/2021/5559486
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