Exponential Fitted Operator Method for Singularly Perturbed Convection-Diffusion Type Problems with Nonlocal Boundary Condition. (25th March 2021)

• Record Type: Journal Article
• Authors: Debela, Habtamu Garoma
• Other Names: Jodar Lucas Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2021(2021)
• Publication Date: 2021-03-25
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2021/5559486
• Languages: English
• ISSNs: 1085-3375

Abstract

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 ε .