Application of homotopy analysis method for fractional Swift Hohenberg equation – Revisited |
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Authors: | K Vishal S KumarS Das |
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Institution: | Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi 221 005, India |
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Abstract: | In this article, the homotopy analysis method is used to obtain the approximate analytical solutions of the non-linear Swift Hohenberg equation with fractional time derivative. The fractional derivative is described in Caputo sense. Numerical results reveal that the method is easy to implement, reliable and accurate when applied to time fractional nonlinear partial differential equations. Effects of parameters of physical importance on the probability density function and the convergence of the approximate series solution using residual error formula with the proper choices of auxiliary parameter for various fractional Brownian motions and standard motion are depicted through graphs and tables for different particular cases. |
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Keywords: | Homotopy analysis method Approximate analytical solution Fractional Swift&ndash Hohenberg equation Caputo derivative Residual error |
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