Numerical solution of source identification multi-point problem of parabolic partial differential equation with Neumann type boundary condition
Ashyralyyev C. Ashyralyyeva T.A.
2024E.A. Buketov Karaganda University Publish house
Bulletin of the Karaganda University. Mathematics Series
2024#115Issue 366 - 76 pp.
We study a source identification boundary value problem for a parabolic partial differential equation with multi-point Neumann type boundary condition. Stability estimates for the solution of the overdetermined mixed BVP for multi-dimensional parabolic equation were established. The first and second order of accuracy difference schemes for the approximate solution of this problem were proposed. Stability estimates for both difference schemes were obtained. The result of numerical illustration in test example was given.
boundary value problem , difference scheme , inverse problem , mixed problem , nonlocal condition , parabolic equation , source identification , stability , stability estimates , well-posedness
Text of the article Перейти на текст статьи
The Department of Mathematics, Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey
Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkestan, Kazakhstan
National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, Uzbekistan
Department of Higher Mathematics, Yagshygeldi Kakayev International University of Oil and Gas, Ashgabat, Turkmenistan
The Department of Mathematics
Khoja Akhmet Yassawi International Kazakh-Turkish University
National University of Uzbekistan named after Mirzo Ulugbek
Department of Higher Mathematics
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026