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Second order difference scheme for singularly perturbed boundary turning point problems | ||
| Journal of Mathematical Modeling | ||
| دوره 9، شماره 4، اسفند 2021، صفحه 633-643 اصل مقاله (347.17 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2021.18771.1606 | ||
| نویسندگان | ||
| Govindarajan Janani Jayalakshmi؛ Ayyadurai Tamilselvan* | ||
| Department of Mathematics, Bharathidasan University, Tiruchirappalli 620 024, Tamilnadu, India | ||
| چکیده | ||
| A singularly perturbed convection diffusion equation with boundary turning point is considered in this paper. A higher order method on piecewise uniform Shishkin mesh is suggested to solve this problem. We prove that this method is of order $O(N^{-2}(\ln N)^2)$. Numerical results are given which validate the analytical results. | ||
| کلیدواژهها | ||
| Singular perturbation؛ boundary turning point؛ hybrid difference scheme؛ Shishkin | ||
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آمار تعداد مشاهده مقاله: 778 تعداد دریافت فایل اصل مقاله: 869 |
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