The Homotopy Wiener-Hermite Expansion and Perturbation Technique (WHEP)

DOI10.1007/978-3-540-79299-4_9zbMath1138.60325OpenAlexW1513889482MaRDI QIDQ3506402

Magdy A. El-Tawil

Publication date: 13 June 2008

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-79299-4_9

zbMATH Keywords

WHEP techniqueWiener-Hermite expansionHomotopy perturbationNon-linear stochastic differential equations

Mathematics Subject Classification ID

Stochastic integrals (60H05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (5)

Statistical measures approximations for the Gaussian part of the stochastic nonlinear damped Duffing oscillator solution process under the application of Wiener Hermite expansion linked by the multi-step differential transformed method ⋮ Using homotopy WHEP technique for solving a stochastic nonlinear diffusion equation ⋮ Approximate solution of a mixed nonlinear stochastic oscillator ⋮ Toward a solution of a class of non-linear stochastic perturbed PDEs using automated WHEP algorithm ⋮ The approximate solution of a nonlinear diffusion equation using some techniques, a comparison study

Cites Work

• Unnamed Item
• A functional series expansion method for response analysis of nonlinear systems subjected to random excitations
• Homotopy analysis of MHD flows of an Oldroyd 8-constant fluid
• The homotopy perturbation method for nonlinear oscillators with discontinuities.
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• Rotating flow of a third grade fluid by homotopy analysis method
• Homotopy perturbation method: a new nonlinear analytical technique
• An approximate solution technique not depending on small parameters: A special example
• Homotopy perturbation technique
• General stochastic oscillatory systems
• Turbulent Flows near Flat Plates
• Wiener–Hermite expansion of a process generated by an Itô stochastic differential equation
• Application of Wiener-Hermite Expansion to Nonstationary Random Vibration of a Duffing Oscillator
• A closed-form analytical solution for the valuation of convertible bonds with constant dividend yield
• Uncertainty Quantification for Systems with Random Initial Conditions Using Wiener–Hermite Expansions
• Enhanced scattering from a thin film with one-dimensional disorder
• Response of the Duffing Oscillator to a Non-Gaussian Random Excitation
• Wiener-Hermite expansion and the inertial subrange of a homogeneous isotropic turbulence
• The Wiener-Hermite expansion applied to decaying isotropic turbulence using a renormalized time-dependent base
• Scattering of a TM plane wave from periodic random surfaces
• Random fields of water surface waves using Wiener–Hermite functional series expansions
• Electromagnetic scattering by rough conduction circular cylinders. I. Angular corrugation
• Rigorous application of the stochastic functional method to plane-wave scattering from a random cylindrical surface
• Gaussian fields and random flow
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
• Relationship between a Wiener–Hermite expansion and an energy cascade
• The Cameron—Martin—Wiener method in turbulence and in Burgers’ model: general formulae, and application to late decay
• Application of the Wiener-Hermite Expansion to the Diffusion of a Passive Scalar in a Homogeneous Turbulent Flow

This page was built for publication: The Homotopy Wiener-Hermite Expansion and Perturbation Technique (WHEP)