Abstract
In this paper, we propose and analyze numerical treatment for a singularly perturbed convection–diffusion boundary value problem with nonlocal condition. First, the boundary layer behavior of the exact solution and its first derivative have been estimated. Then we construct a finite difference scheme on a uniform mesh. We prove the uniform convergence of the proposed difference scheme and give an error estimate. We also present numerical examples, which demonstrate computational efficiency of the proposed method.
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Cakir, M., Cimen, E. & Amiraliyev, G.M. The difference schemes for solving singularly perturbed three-point boundary value problem. Lith Math J 60, 147–160 (2020). https://doi.org/10.1007/s10986-020-09471-z
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DOI: https://doi.org/10.1007/s10986-020-09471-z