Simultaneous determination of source term and initial value in the heat conduction problem by modified quasi-reversibility regularization method-Reference-Cited by-同舟云学术

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Simultaneous determination of source term and initial value in the heat conduction problem by modified quasi-reversibility regularization method

Published:2022-06-07 Issue:3-4 Volume:82 Page:112-127
ISSN:1040-7790
Container-title:Numerical Heat Transfer, Part B: Fundamentals
language:en
Short-container-title:Numerical Heat Transfer, Part B: Fundamentals

Author:

Wen Jin¹^ORCID,Ren Xue-Juan¹²,Wang Shi-Juan³⁴

Affiliation:

1. Department of Mathematics, Northwest Normal University, Lanzhou, Gansu, P.R. China

2. College of Information Engineering, Tarim University, Aral, Xinjiang, P.R. China

3. School of Traffic and Transportation, Lanzhou Jiaotong University, Gansu, P.R. China

4. School of Information Engineering, Lanzhou University of Finance and Economics, Gansu, P.R. China

Publisher

Informa UK Limited

Subject

Computer Science Applications,Mechanics of Materials,Condensed Matter Physics,Modeling and Simulation,Numerical Analysis

Link

https://www.tandfonline.com/doi/pdf/10.1080/10407790.2022.2079281

Reference43 articles.

1. A numerical method for identifying heat transfer coefficient

2. The backward problem of parabolic equations with the measurements on a discrete set

3. An iterative boundary element method for solving the one-dimensional backward heat conduction problem

4. Two numerical methods for solving a backward heat conduction problem

5. Wavelet and Fourier Methods for Solving the Sideways Heat Equation

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1. Iterated fractional Tikhonov method for recovering the source term and initial data simultaneously in a two-dimensional diffusion equation;Journal of Computational and Applied Mathematics;2024-12

2. Fourier truncation regularization method for simultaneous inversion in parabolic equations with convective term;Mathematical Methods in the Applied Sciences;2024-05-18

3. SIMULTANEOUS INVERSION OF THE SOURCE TERM AND INITIAL VALUE OF THE TIME FRACTIONAL DIFFUSION EQUATION;Mathematical Modelling and Analysis;2024-03-26

4. Boundary geometry reconstruction for orthotropic heat conduction problems based on HT-FEM;Numerical Heat Transfer, Part B: Fundamentals;2023-11-03

5. On the simultaneous reconstruction of the initial diffusion time and source term for the time-fractional diffusion equation;International Journal of Computer Mathematics;2023-09-21

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