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Parameter-uniform spline in compression method for singularly perturbed parabolic boundary turning point problem | ||
| Journal of Mathematical Modeling | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 22 تیر 1405 اصل مقاله (665.88 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2026.33001.3005 | ||
| نویسندگان | ||
| Ding Jian1؛ Wondwosen Gebeyaw Melesse2؛ Fasika Wondimu Gelu* 3؛ Jemal Abdule Bedaso2 | ||
| 1Department of Mathematics, Nanjing University of Information Science and Technology, Nanjing, 210044 Jingsu, China | ||
| 2Department of Mathematics, Dilla University, Dilla, 419 Southern State, Ethiopia | ||
| 3Department of Mathematics, Dilla University, Dilla, Ethiopia | ||
| چکیده | ||
| This study investigates a parameter-uniform numerical method for solving singularly perturbed parabolic boundary turning point problem. The continuous problem is discretized using a spline in compression method for the space derivative on a Shishkin mesh and the Crank-Nicolson method for the time derivative on an equidistant mesh. The error analysis shows that the method is parameter-uniformly convergent with an error bound of order $O(N^{-2}\ln^2 N+\Delta t^2)$. Several numerical experiments are presented using three examples, and comparisons are made to validate the method's applicability and efficiency | ||
| کلیدواژهها | ||
| Spline in compression method؛ boundary turning point؛ Crank-Nicolson method؛ Shishkin mesh | ||
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آمار تعداد مشاهده مقاله: 3 تعداد دریافت فایل اصل مقاله: 4 |
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