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Residual Power Series Solution of Fractional bi-Hamiltonian Boussinesq System

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Proceedings of International Conference on Trends in Computational and Cognitive Engineering

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1169))

Abstract

In this paper, the residual power series method (RPSM) which is based on the generalized Taylor’s series formula has been used to investigate the approximated analytical solution for the fractional bi-Hamiltonian Boussinesq system. The solution of governing equation is calculated in the form of speedily convergent series. Reliability of the method is discussed with some graphical representations, which shows the accuracy and fast convergence of the solution.

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Acknowledgments

Support of CSIR Research Grant to one of the authors’ “BK” for carrying out the research work is fully acknowledged.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Central University of Punjab, Bathinda, 151001, India

    Sachin Kumar & Baljinder Kour

Authors
  1. Sachin Kumar
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  2. Baljinder Kour
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Corresponding author

Correspondence to Baljinder Kour .

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Editors and Affiliations

  1. Central University of Haryana, Mahendergarh, India

    Phool Singh

  2. Central University of Haryana, Mahendergarh, India

    Rajesh Kumar Gupta

  3. Amity School of Applied Sciences, Amity School of Engineering and Technology (ASET), Jaipur, Rajasthan, India

    Kanad Ray

  4. Surface Characterization Group, National Institute for Materials Science (NIMS), Tsukuba, Ibaraki, Japan

    Anirban Bandyopadhyay

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Cite this paper

Kumar, S., Kour, B. (2021). Residual Power Series Solution of Fractional bi-Hamiltonian Boussinesq System. In: Singh, P., Gupta, R.K., Ray, K., Bandyopadhyay, A. (eds) Proceedings of International Conference on Trends in Computational and Cognitive Engineering. Advances in Intelligent Systems and Computing, vol 1169. Springer, Singapore. https://doi.org/10.1007/978-981-15-5414-8_14

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