期刊
APPLIED MATHEMATICAL MODELLING
卷 36, 期 8, 页码 3630-3637出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2011.10.001
关键词
Homotopy analysis method; Approximate analytical solution; Fractional Swift-Hohenberg equation; Caputo derivative; Residual error
资金
- Department of Applied Mathematics, Hong Kong Polytechnic University
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. (C) 2011 Elsevier Inc. All rights reserved.
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