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Approximate Solution of Hypersingular Integral Equation by Using Differential Transform Method

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Proceedings of the Fifth International Conference on Mathematics and Computing

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1170))

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Abstract

In this article, we present differential transform method for solving a first kind hypersingular integral equation in which the kernel is containing a strong singular part and a regular part. Also some simple examples with exact solutions are considered to establish the validity and applicability of the proposed mechanism. Numerical outcomes reveal that our proposed technique works well and has good accuracy.

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Acknowledgements

The first author thanks CSIR for the award of a research fellowship (CSIR award letter no. 09/028(0971)/2016-EMR-I, Dated: 19/10/2016).

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Calcutta, 92, A.P.C. Road, Kolkata, 700009, India

    Subhabrata Mondal

  2. Physics and Applied Mathematics Unit, Indian Statistical Institute, 203, B.T. Road, Kolkata, 700108, India

    B. N. Mandal

Authors
  1. Subhabrata Mondal
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  2. B. N. Mandal
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Corresponding author

Correspondence to Subhabrata Mondal .

Editor information

Editors and Affiliations

  1. Department of Information Technology, Maulana Abul Kalam Azad University of Technology, Haringhata, West Bengal, India

    Debasis Giri

  2. Faculty of Engineering and Physical Sciences, University of Surrey, Guildford, UK

    Anthony T. S. Ho

  3. Indian Institute of Technology Madras, Chennai, India

    S. Ponnusamy

  4. Department of Information Management, National Taiwan University of Science and Technology, Taipei City, Taiwan

    Nai-Wei Lo

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Mondal, S., Mandal, B.N. (2021). Approximate Solution of Hypersingular Integral Equation by Using Differential Transform Method. In: Giri, D., Ho, A.T.S., Ponnusamy, S., Lo, NW. (eds) Proceedings of the Fifth International Conference on Mathematics and Computing. Advances in Intelligent Systems and Computing, vol 1170. Springer, Singapore. https://doi.org/10.1007/978-981-15-5411-7_13

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