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

Hadi Hosseini Fadravi, Hassan Saberi Nik and Reza Buzhabadi

International Journal of Differential Equations, 2011, vol. 2011, 1-12

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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:237045

DOI: 10.1155/2011/237045

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