Toward a solution of a class of non-linear stochastic perturbed PDEs using automated WHEP algorithm

Author:

El-Beltagy Mohamed A.,El-Tawil Magdy A.

Publisher

Elsevier BV

Subject

Applied Mathematics,Modelling and Simulation

Reference26 articles.

1. Solving random diffusion models with nonlinear perturbations by the Wiener–Hermite expansion method;Cortes;Comput. Math. Appl.,2011

2. W. Luo, Wiener chaos expansion and numerical solutions of stochastic partial differential equations, Ph.D Thesis, California Institute of Technology, Pasadena, California, 2006.

3. Nonlinear Problems in Random Theory;Wiener,1958

4. The orthogonal development of non-linear functionals in series of Fourier–Hermite functionals;Cameron;Ann. Math.,1947

5. Numerical solutions of Burger’s equation with random initial conditions using Wiener chaos expansion and the Lax–Windroff scheme;Kim;Appl. Math. Lett.,2007

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