Study on a Free Boundary Problem Arising in Porous Media

  • Bhumika G. ChoksiEmail author
  • Twinkle R. Singh
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 307)


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.


Free boundary problems Two-dimensional potential flows Porous media Seepage face Successive linearisation method (SLM) 



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


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© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.Department Applied Mathematics and HumanitiesS. V. National Institute of TechnologySuratIndia

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