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

Các tác giả

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

Từ khóa:

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.

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Đã Xuất bản

2025-01-20

Số

Tập 1 Số 69 (2024): Tháng 3 năm 2024

Chuyên mục

BAI BÁO