Application of homotopy analysis method for fractional Swift Hohenberg equation – Revisited
2011; Elsevier BV; Volume: 36; Issue: 8 Linguagem: Inglês
10.1016/j.apm.2011.10.001
ISSN1872-8480
AutoresK. Vishal, Sunil Kumar, Subir Das,
Tópico(s)Fluid Dynamics and Thin Films
ResumoIn 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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