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Homotopy Analysis Method for Solving Foam Drainage Equation with Space- and Time-Fractional Derivatives

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  • Hadi Hosseini Fadravi
  • Hassan Saberi Nik
  • Reza Buzhabadi

Abstract

The analytical solution of the foam drainage equation with time- and space-fractional derivatives was derived by means of the homotopy analysis method (HAM). The fractional derivatives are described in the Caputo sense. Some examples are given and comparisons are made; the comparisons show that the homotopy analysis method is very effective and convenient. By choosing different values of the parameters ð ›¼ , ð ›½ in general formal numerical solutions, as a result, a very rapidly convergent series solution is obtained.

Suggested Citation

  • Hadi Hosseini Fadravi & Hassan Saberi Nik & Reza Buzhabadi, 2011. "Homotopy Analysis Method for Solving Foam Drainage Equation with Space- and Time-Fractional Derivatives," International Journal of Differential Equations, Hindawi, vol. 2011, pages 1-12, July.
    • Handle: RePEc:hin:jnijde:237045
    DOI: 10.1155/2011/237045
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