Taylor Expansion Method for Solving Diffusion Equation with Random Boundary Condition
Shengqiang Xu
Department of Applied Mathematics
Illinois Institute of Technology
We use Taylor Expansion Method to solve the Nonliear Stochastic Partial Equations with Ramdom Boundary Conditions. As example, we studied the Nonliear diffusion Equation (Ginzburg-Landau Equation) with Random Neumann Conditons. With this equation as example, we investigate the impact of noise of boundary to the solution.