Homotopy Analysis Method for Solving Foam Drainage Equation with Space- and Time-Fractional Derivatives
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...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2011/237045 |
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| Summary: | 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 𝛼,𝛽 in general formal numerical solutions, as a result, a very rapidly convergent series solution is obtained. |
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| ISSN: | 1687-9643 1687-9651 |