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Optimization method for the inverse problem of reconstructing the source term in a parabolic equation

  • Published:2009-10 Issue:2 Volume:80 Page:314-326
  • ISSN:0378-4754
  • Container-title:Mathematics and Computers in Simulation
  • language:en
  • Short-container-title:Mathematics and Computers in Simulation

Author:

Yang Liu,Deng Zui-Cha,Yu Jian-Ning,Luo Guan-Wei

Publisher

Elsevier BV

Subject

Applied Mathematics,Modelling and Simulation,Numerical Analysis,General Computer Science,Theoretical Computer Science

Reference23 articles.

1. Dynamics of Fluids in Porous Media;Bear,1972

2. Inverse Heat Conduction, Ill-posed Problems;Beck,1985

3. Determination of an unknown heat source from overspecified boundary data;Cannon;SIAM J. Numer. Anal.,1986

4. An inverse problem of finding a parameter in a semilinear heat equation;Cannon;J. Math. Anal. Appl.,1990

5. An inverse problems of finding a source parameter in a semilinear parabolic equation;Dehghan;Appl. Math. Model.,2001

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1. Inverse problem of reconstructing source term for a class of non‐divergence parabolic equations;Mathematical Methods in the Applied Sciences;2024-09-02

2. Numerical Reconstruction of Heat Source on a Semi-Infinite Rod;Journal of Thermophysics and Heat Transfer;2024-07

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4. Solving two kinds of inverse source problems for the heat equations by a mollification regularization method with Dirichlet kernel;Mathematical Methods in the Applied Sciences;2024-05-29

5. An Approach to Solution to Problem for Restoring Sources of Special Type in Parabolic Equation;2023 5th International Conference on Problems of Cybernetics and Informatics (PCI);2023-08-28
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