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چکیده
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In this paper, the stochastic Burgers equation with additive random forcing is studied. We assume that the spatial part of the random forcing is a constant. In this case, the solution of the stochastic Burgers equation can be obtained by a nonlinear stochastic perturbation of its deterministic counterpart. For the de- terministic counterpart, the homotopy analysis method (HAM) is applied. We demonstrate that for short time solutions the HAM are more efficient and accu- rate than numerical methods based on the Monte Carlo simulations. Using the HAM, it is possible to find the exact solution or an approximate solution of the problem in the form of a series. This technique provides a series of functions which converges rapidly to the exact solution of the problem.
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