Numerical solution of source identification multi-point problem of parabolic partial differential equation with Neumann type boundary condition

被引：0

作者：

Ashyralyyev, C. ^{[1
,2
,3
]}

Ashyralyyeva, T. A. ^{[4
]}

机构：

[1] Bahcesehir Univ, Istanbul, Turkiye

[2] Khoja Akhmet Yassawi Int Kazakh Turkish Univ, Turkestan, Kazakhstan

[3] Natl Univ Uzbekistan, Tashkent, Uzbekistan

[4] Yagshygeldi Kakayev Int Univ Oil & Gas, Dept Informat & Informat Technol, Ashkhabad, Turkmenistan

来源：

BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS SERIES | 2024年 / 115卷 / 03期

关键词：

inverse problem; source identification; parabolic equation; difference scheme; stability; nonlocal; condition; boundary value problem; well-posedness; stability estimates; mixed problem; INVERSE PROBLEM; INVOLUTION;

D O I：

10.31489/2024M3/66-76

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：66 / 76

页数：11

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