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Study on a Free Boundary Problem Arising in Porous Media

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Mathematical Analysis II: Optimisation, Differential Equations and Graph Theory (ICRAPAM 2018)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 307))

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Abstract

The present study discusses a free boundary problem arising from the steady two-dimensional seepage flow through a rectangular dam. The free boundary location, the potential velocity field, and the pressure field have been found using successive linearisation method (SLM) by solving a nonlinear partial differential equation arising as a governing equation for this problem. The SLM is a newly developed method, which is a very efficient and reliable method to handle nonlinear problems. The numerical and the graphical representation of the solution has been discussed using MATLAB under the certain valid assumption.

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Acknowledgements

The authors are very much thankful to SVNIT and GUJCOST for support of the research work.

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Authors and Affiliations

  1. Department Applied Mathematics and Humanities, S. V. National Institute of Technology, Surat, 395007, Gujarat, India

    Bhumika G. Choksi & Twinkle R. Singh

Authors
  1. Bhumika G. Choksi
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  2. Twinkle R. Singh
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Corresponding author

Correspondence to Bhumika G. Choksi .

Editor information

Editors and Affiliations

  1. Department of Applied Mathematics, Delhi Technological University, New Delhi, India

    Naokant Deo

  2. Department of Mathematics, Netaji Subhas University of Technology, New Delhi, India

    Vijay Gupta

  3. Department of Mathematics, Lucian Blaga University of Sibiu, Sibiu, Romania

    Ana Maria Acu

  4. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

    P. N. Agrawal

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Choksi, B.G., Singh, T.R. (2020). Study on a Free Boundary Problem Arising in Porous Media. In: Deo, N., Gupta, V., Acu, A., Agrawal, P. (eds) Mathematical Analysis II: Optimisation, Differential Equations and Graph Theory. ICRAPAM 2018. Springer Proceedings in Mathematics & Statistics, vol 307. Springer, Singapore. https://doi.org/10.1007/978-981-15-1157-8_10

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