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Variational Iteration Method for Solving an Inverse Parabolic Problem

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 646))

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Abstract

In this paper, the variational iteration method is applied to solving an inverse problem of determining more than one unknown parameters in a linear parabolic equation with Neumann boundary conditions. If one of boundary conditions is considered as unknown, it is desirable to be able to determine more than one parameter from the given data. This method is based on the use of Lagrange multipliers for identification of optimal valuse of parameters in a functional. We get a rapid convergent sequence tending to the exact solution of the inverse problem. To show the efficiency of the present method, one interesting example is presented.

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Acknowledgements

Thanks to the support by Youth Science Foundation of Hainan Tropical Ocean University (No. QYQN201519 and No. QYQN201520).

Recommender: Professor Kong Lingling’s recommendation of Northeast Normal University.

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Authors and Affiliations

  1. School of Ocean Information Engineering, Hainan Tropical Ocean University, Sanya, 572200, Hainan, People’s Republic of China

    De-jian Huang & Yan-qing Li

  2. School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, Jilin, People’s Republic of China

    Yan-qing Li

Authors
  1. De-jian Huang
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  2. Yan-qing Li
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Correspondence to Yan-qing Li .

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Editors and Affiliations

  1. Guangzhou Vocational College of Science and Technology, Guangzhou, China

    Bing-Yuan Cao

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Huang, Dj., Li, Yq. (2018). Variational Iteration Method for Solving an Inverse Parabolic Problem. In: Cao, BY. (eds) Fuzzy Information and Engineering and Decision. IWDS 2016. Advances in Intelligent Systems and Computing, vol 646. Springer, Cham. https://doi.org/10.1007/978-3-319-66514-6_32

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  • DOI: https://doi.org/10.1007/978-3-319-66514-6_32

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-66513-9

  • Online ISBN: 978-3-319-66514-6

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