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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 | ||
آمار تعداد مشاهده مقاله: 697 تعداد دریافت فایل اصل مقاله: 763 |