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The Fourier-based dimensional reduction method for solving a nonlinear inverse heat conduction problem with limited boundary data

  • Published:2024-01 Issue: Volume:128 Page:107679
  • ISSN:1007-5704
  • Container-title:Communications in Nonlinear Science and Numerical Simulation
  • language:en
  • Short-container-title:Communications in Nonlinear Science and Numerical Simulation

Author:

Hào Dinh-Nho,Le Thuy T.,Nguyen Loc H.

Funder

Vietnam Academy of Science and Technology

College of Liberal Arts and Social Sciences, University of North Texas

National Science Foundation

Center for Latin American Studies, Ohio State University

Vietnam Institute for Advanced Study in Mathematics

University of North Carolina at Charlotte

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis

Reference37 articles.

1. Inverse problems and carleman estimates: Global uniqueness, global convergence and experimental data;Klibanov,2021

2. Estimates of initial conditions of parabolic equations and inequalities via lateral Cauchy data;Klibanov;Inverse Problems,2006

3. On an inverse source problem for the heat equation. application to a pollution detection problem;El Badia;J Inverse Ill-posed Probl,2002

4. Conditional stability and numerical reconstruction of initial temperature;Li;Commun Pure Appl Anal,2009

5. Solving an inverse heat conduction problem by method of lines;Eldén;ASME J Heat Transfer,1997

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