Solution of fractional Drinfeld-Sokolov-Wilson equation using Homotopy perturbation transform method
Abstract
In this article, the approximate solutions of the non-linear Drinfeld-Sokolov-Wilson equation with fractional time derivative have been obtained. The fractional derivative is described in the Caputo sense. He’s polynomial is used to tackle the nonlinearity which arise in our considered problems. A time fractional nonlinear partial differential equation has been computed numerically. The numerical procedures illustrate the effectiveness and reliability of the method. Effects of fractional order time derivatives on the solutions for different particular cases are presented through graphs.
Recommended Citation
Singh, P. K.; Vishal, K.; and Som, T.
(2015).
Solution of fractional Drinfeld-Sokolov-Wilson equation using Homotopy perturbation transform method,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 10,
Iss.
1, Article 27.
Available at:
https://digitalcommons.pvamu.edu/aam/vol10/iss1/27
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Ordinary Differential Equations and Applied Dynamics Commons, Partial Differential Equations Commons, Special Functions Commons