پیوندهای مفید
آمار
| تعداد نشریات | 32 |
| تعداد شمارهها | 868 |
| تعداد مقالات | 8,462 |
| تعداد مشاهده مقاله | 53,547,932 |
| تعداد دریافت فایل اصل مقاله | 9,680,702 |
Parameter-uniform spline in compression method for singularly perturbed parabolic boundary turning point problem | ||
| Journal of Mathematical Modeling | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 22 تیر 1405 اصل مقاله (665.9 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 | ||
| 1School of Mathematics and Statistics, 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 $O(N_x^{-2}\ln^2 N_x+N_t^2)$, where $N_x$ is the numebr of space mesh intervals and $N_t$ is the number of time mesh intervals. Three test examples are used to perform several numerical experiments, and comparative analyses are presented to validate the applicability and efficiency of the proposed method. | ||
| کلیدواژهها | ||
| Spline in compression method؛ boundary turning point؛ Crank-Nicolson method؛ Shishkin mesh | ||
|
آمار تعداد مشاهده مقاله: 31 تعداد دریافت فایل اصل مقاله: 58 |
||