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A Restrained Optimal Perturbation Method for Solving a Kind of Inverse Problem with Variable Coefficient

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Intelligent Computing in Bioinformatics (ICIC 2014)

Part of the book series: Lecture Notes in Computer Science ((LNBI,volume 8590))

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Abstract

A restrained optimal perturbation method is proposed to study one-dimensional variable coefficient backward inverse heat conduction problem. We determine the initial temperature distribution from final measurement data. Owning to the ill-posedness of this problem, a regularization term is introduced in the objective function, which based on the thought of regularization technique. And we give a brief description about the application in Genetic regulatory networks. Numerical experiments show that the method is feasibility in the determination of initial condition.

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Author information

Authors and Affiliations

  1. Institute of Applied Mathematics, Henan University, Kaifeng, P.R. China

    Bo Wang

  2. College of Mathematics and Information Science, Henan University, Kaifeng, P.R. China

    Bo Wang

  3. Mathematic College, Shandong University, Jinan, P.R. China

    Yujing Yuan

  4. Key Laboratory of Ocean Circulation and Wave, Institute of Oceanology, Chinese Academy of Sciences, Qingdao, P.R. China

    Guang-an Zou

  5. University of Chinese Academy of Sciences, Beijing, P.R. China

    Guang-an Zou

Authors
  1. Bo Wang
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  2. Yujing Yuan
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  3. Guang-an Zou
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Editor information

Editors and Affiliations

  1. School of Electronics and Information Engineering, Tongji University, 4800 Caoan Road, 201804, Shanghai, China

    De-Shuang Huang

  2. School of Computer Science and Engineering Inha University, Incheon, South Korea

    Kyungsook Han

  3. Department of Biotechnology, Indian Institute of Technology Madras, 600 036, Chennai, Tamilnadu, India

    Michael Gromiha

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© 2014 Springer International Publishing Switzerland

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Wang, B., Yuan, Y., Zou, Ga. (2014). A Restrained Optimal Perturbation Method for Solving a Kind of Inverse Problem with Variable Coefficient. In: Huang, DS., Han, K., Gromiha, M. (eds) Intelligent Computing in Bioinformatics. ICIC 2014. Lecture Notes in Computer Science(), vol 8590. Springer, Cham. https://doi.org/10.1007/978-3-319-09330-7_22

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  • DOI: https://doi.org/10.1007/978-3-319-09330-7_22

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-09329-1

  • Online ISBN: 978-3-319-09330-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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