Taylor Expansion Method for Solving Diffusion Equation with Random Boundary Equation

We use Taylor Expansion Method to solve the Nonlinear Stochastic Partial Equations with Random Boundary Conditions. As example, we studied the Nonlinear diffusion Equation (Ginzburg-Landau Equation) with Random Neumann Conditions. With this equation as example, we investigate the impact of noise of boundary to the solution.

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Computational Mathematics & Statistics