Davey-Stewartson Equation with Fractional Coordinate Derivatives
We have used the homotopy analysis method (HAM) to obtain solution of Davey-Stewartson equations of fractional order. The fractional derivative is described in the Caputo sense. The results obtained by this method have been compared with the exact solutions. Stability and convergence of the proposed...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/941645 |
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| Summary: | We have used the homotopy analysis method (HAM) to obtain solution of Davey-Stewartson equations
of fractional order. The fractional derivative is described in the Caputo sense. The results obtained by this method have
been compared with the exact solutions. Stability and convergence of the proposed approach is investigated. The effects of
fractional derivatives for the systems under consideration are discussed. Furthermore, comparisons indicate that there is a very good agreement between the solutions of homotopy analysis method and the exact solutions in terms of accuracy. |
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| ISSN: | 1537-744X |