An iterative method for inverse source biparabolic equation

Authors

  • Nguyen Anh Triet University of Architecture Ho Chi Minh City (UAH) 196 Pasteur Str., Dist. 3, Ho Chi Minh City, Vietnam
  • Nguyen Anh Tuan Division of Applied Mathematics, Science and Technology Advanced Institute, Van Lang University, Ho Chi Minh City, Vietnam; Faculty of Applied Technology, School of Technology, Van Lang University, Ho Chi Minh City, Vietnam Corresponding Author

Keywords:

Conformable derivative, Fourier truncation method, inverse source problem, inverse initial problem, regularization, Sobolev embeddings

Abstract

In this paper, we consider the problem of finding the source function for biparabolic equation. First, the problem is severely ill-posed in the sense of Hadamard. After that, we also give a regularized solution and consider the convergence between the regularized solution and the sought solution by an iterative method, under a priori parameter choice rule, and under a posteriori parameter choice rule, respectively.

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Published

2023-03-11

Issue

1 (2023) No. 2

Section

Articles

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