Toward a solution of a class of non-linear stochastic perturbed PDEs using automated WHEP algorithm
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[1] M. El-Tawil,et al. Solution of Stochastic Cubic and Quintic Nonlinear Diffusion Equation Using WHEP, Pickard and HPM Methods , 2011 .
[2] W. T. Martin,et al. The Orthogonal Development of Non-Linear Functionals in Series of Fourier-Hermite Functionals , 1947 .
[3] Juan Carlos Cortés,et al. Solving random diffusion models with nonlinear perturbations by the Wiener-Hermite expansion method , 2011, Comput. Math. Appl..
[4] W. Meecham,et al. Wiener-Hermite Expansion in Model Turbulence at Large Reynolds Numbers , 1964 .
[5] Wuan Luo. Wiener Chaos Expansion and Numerical Solutions of Stochastic Partial Differential Equations , 2006 .
[6] Hongjoong Kim. Numerical solutions of Burgers' equation with random initial conditions using the Wiener chaos expansion and the Lax-Wendroff scheme , 2007, Appl. Math. Lett..
[7] Goodarz Ahmadi,et al. Application of Wiener-Hermite Expansion to Nonstationary Random Vibration of a Duffing Oscillator , 1983 .
[8] E. F. Abdel Gawad,et al. General stochastic oscillatory systems , 1993 .
[9] L. Arnold. Stochastic Differential Equations: Theory and Applications , 1992 .
[10] William C. Meecham,et al. Wiener‐Hermite Expansion in Model Turbulence in the Late Decay Stage , 1965 .
[11] G. H. Canavan,et al. Relationship between a Wiener–Hermite expansion and an energy cascade , 1970, Journal of Fluid Mechanics.
[12] Marina L. Gavrilova,et al. Transactions on Computational Science I , 2008, Trans. Comput. Sci..
[13] María Dolores Roselló,et al. Applying the Wiener-Hermite Random Technique to Study the Evolution of Excess Weight Population in the Region of Valencia (Spain) , 2012 .
[14] W. Meecham,et al. Use of the Wiener—Hermite expansion for nearly normal turbulence , 1968, Journal of Fluid Mechanics.
[15] P. Kloeden,et al. Numerical Solution of Stochastic Differential Equations , 1992 .
[16] Magdy A. El-Tawil,et al. Using Homotopy WHEP technique for solving a stochastic nonlinear diffusion equation , 2010, Math. Comput. Model..
[17] N. Wiener,et al. Nonlinear Problems in Random Theory , 1964 .
[18] P. Saffman. Application of the Wiener-Hermite Expansion to the Diffusion of a Passive Scalar in a Homogeneous Turbulent Flow , 1969 .
[19] Gamal M. Mahmoud,et al. The solvability of parametrically forced oscillators using WHEP technique , 1999 .
[20] J. C. T. Wang,et al. Wiener‐Hermite expansion and the inertial subrange of a homogeneous isotropic turbulence , 1974 .
[21] Magdy A. El-Tawil,et al. The Homotopy Wiener-Hermite Expansion and Perturbation Technique (WHEP) , 2008, Trans. Comput. Sci..
[22] William C. Meecham,et al. Symbolic Calculus of the Wiener Process and Wiener‐Hermite Functionals , 1965 .
[23] M. El-Tawil,et al. Statistical analysis of the stochastic solution processes of 1-D stochastic Navier–Stokes equation using WHEP technique , 2013 .