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

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Tác giả: Minh Hai Nguyen, Quang Huy Nguyen, Phuong Dung Phan

Ngôn ngữ: eng

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Thông tin xuất bản: Tạp chí Khoa học - Trường Đại học Sư phạm Hà Nội: Khoa học Tự nhiên, 2024

Mô tả vật lý: tr.14

Bộ sưu tập: Metadata

ID: 247966

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.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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