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Abstract
The homotopy analysis method (HAM) is one of the important analytical methods, which introduces a series solution for nonlinear problems. HAM contains the auxiliary parameter {u0127} which gives a way to adjust and control the convergence region of the series solution. In this work, a new technique for using (HAM) together with Wiener- Hermite expansion (HAM-WHE) is proposed as an efficient method for solving stochastic nonlinear differential equations. Piecewise homotopy analysis method is also introduced to increase the convergence region. Burger{u2019}s equation and diffusion equation are solved using HAM