A NEW METHOD FOR REGULARIZING A HEAT INVERSE PROBLEM WITH TIME DEPENDENT COEFFICIENT IN THE TWO-DIMENSIONAL CASE

DOI: 10.18173/2354-1059.2024-0002

  • Nguyen Quang Huy
  • Nguyen Minh Hai
  • Phan Phuong Dung

Tóm tắt

In this paper, we consider an inverse problem with a time-dependentcoefficient. This problem is ill-posed. To regularize this problem, we use theintegral truncation method combined with the quasi-boundary value method. Weconstruct approximate solutions and consider the stability of such a solution. Moreover, we evaluate the errors between regularized solutions and exact solutions.A numerical method is given to illustrate the theoretically obtained results.

điểm /   đánh giá
Phát hành ngày
2025-01-21
In ra
Tập. 1 Số. 69 (2024): Tháng 3 năm 2024
Chuyên mục
BAI BÁO