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A New Error Evaluation for Singularly Perturbed Problem with Multi-Point Boundary Condition | ||
| Computational Methods for Differential Equations | ||
| مقاله 2، دوره 8، شماره 2، تیر 2020، صفحه 236-250 اصل مقاله (319.73 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2020.34380.1572 | ||
| نویسنده | ||
| Derya Arslan* | ||
| Department of Mathematics, Faculty of Art and Science, Bitlis Eren University, 13200, Bitlis, Turkey. | ||
| چکیده | ||
| We consider finite difference method to find best approximation of nonlinear singularly perturbed problem which contains multi-point boundary conditions. We surveyed the asymptotic estimates of the corresponding problem that needs to be solved with maximum principle. We constructed a finite difference scheme by using Bakhvalov mesh. Based on the error estimation, we proved that this method was first-order, uniformly convergent method with in the discrete maximum norm. Finally, we conducted a numerical experiment in order to check the theoretical results | ||
| کلیدواژهها | ||
| Singular perturbation؛ finite difference scheme؛ Bakhvalov mesh؛ uniformly convergence؛ multipoint boundary conditions | ||
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آمار تعداد مشاهده مقاله: 814 تعداد دریافت فایل اصل مقاله: 715 |
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