SeMA Journal

, Volume 76, Issue 1, pp 79–95 | Cite as

Modified approach to solve nonlinear equation arising in infiltration phenomenon

  • Kunjan ShahEmail author
  • Twinkle Singh


In the present analysis, the modified homotopy analysis method has been employed to find an approximate analytical solution of Richards’ equation. This method is the slight modification of standard homotopy analysis method. Some standard cases of Richards’ equation have been discussed as an example to illustrate the high accuracy and reliability of modified homotopy analysis method. The result obtained from the proposed method is very close to the exact solution of the problem. It is concluded that modified homotopy analysis method is the better alternative to some standard existing methods to solve some realistic problems arising in science and technology.


Infiltration Phenomenon Richards’ equation Modified homotopy analysis method h-curve 



The authors are thankful to the Applied Mathematics and Humanities Department, S. V. National Institute of Technology, Surat, for providing research facilities.

Compliance with ethical standards

Competing Interests

The author declares that there is no competing interest about this manuscript.


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Copyright information

© Sociedad Española de Matemática Aplicada 2018

Authors and Affiliations

  1. 1.Applied Mathematics and Humanities DepartmentSardar Vallabhbhai National Institute of TechnologySuratIndia
  2. 2.Mechanical DepartmentL J Institute of Engineering and TechnologyAhmedabadIndia

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