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Spline-interpolation solution of Cauchy problem for a harmonic function in a simply connected 3D domain | ||
| Journal of Mathematical Modeling | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 18 آبان 1404 اصل مقاله (3.3 M) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2025.29691.2646 | ||
| نویسندگان | ||
| Pyotr Ivanshin* 1؛ Elena Shirokova2 | ||
| 1Kazan National Research Technical University | ||
| 2Lobachevskiy Institute of Mathematics and Mechanics, Kazan Federal University, Kazan, Russia | ||
| چکیده | ||
| Here we construct an approximate spline-interpolation solution of the Cauchy problem for the Laplace equation. Our construction describes two different methods based on solution of integral equations. The first method involves singular integral equation, and the second one is based on solution of a Fredholm equation. We present the linear and the polynomial examples clarifying the construction approaches. | ||
| کلیدواژه‌ها | ||
| Cauchy problem؛ integral equation؛ holomorphic function؛ spline؛ approximate solution | ||
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