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[HTML][HTML] Solving the random Legendre differential equation: Mean square power series solution and its statistical functions
In this paper we construct, by means of random power series, the solution of second order
linear differential equations of Legendre-type containing uncertainty through its coefficients …
linear differential equations of Legendre-type containing uncertainty through its coefficients …
[HTML][HTML] Approximating the density of random differential equations with weak nonlinearities via perturbation techniques
We combine the stochastic perturbation method with the maximum entropy principle to
construct approximations of the first probability density function of the steady-state solution of …
construct approximations of the first probability density function of the steady-state solution of …
Numerical Approximation of Higher‐Order Solutions of the Quadratic Nonlinear Stochastic Oscillatory Equation Using WHEP Technique
This paper introduces higher‐order solutions of the stochastic nonlinear differential
equations with the Wiener‐Hermite expansion and perturbation (WHEP) technique. The …
equations with the Wiener‐Hermite expansion and perturbation (WHEP) technique. The …
Generalised solution of field distribution in cylindrical shells of finite length and thickness due to axial currents
EE Kriezis, DP Chrissoulidis, LG Georgiadis - IEE Proceedings A (Physical …, 1982 - IET
A cylindrical conducting shell of finite length and finite thickness, surrounding a straight
current filament of infinite length, is considered. This current filament is assumed to be …
current filament of infinite length, is considered. This current filament is assumed to be …
Applying the Wiener-Hermite random technique to study the evolution of excess weight population in the region of Valencia (Spain)
This paper proposes a stochastic model to study the evolution of normal and excess weight
population between 24-65 years old in the region of Valencia (Spain). An approximate …
population between 24-65 years old in the region of Valencia (Spain). An approximate …
Advances on Differential Equations with Uncertainties and their Applications to Probabilistic Mechanics Engineering
E López Navarro - 2024 - riunet.upv.es
[EN] Differential equations in Engineering are fundamental tools for modelling and analysing
dynamical systems. Differential equations allow engineers to describe how physical …
dynamical systems. Differential equations allow engineers to describe how physical …
[HTML][HTML] Higher-Order WHEP Solutions of Quadratic Nonlinear Stochastic Oscillatory Equation
MA El-Beltagy, AS Al-Johani - 2013 - scirp.org
This paper introduces higher-order solutions of the quadratic nonlinear stochastic oscillatory
equation. Solutions with different orders and different number of corrections are obtained …
equation. Solutions with different orders and different number of corrections are obtained …
Numerical discretization of stochastic oscillators with generalized numerical integrators
In this study, we propose a numerical scheme for stochastic oscillators with additive noise
obtained by the method of variation of constants formula using generalized numerical …
obtained by the method of variation of constants formula using generalized numerical …
Solving the Linear Oscillatory Problem without Dam** with Random Loading Condition Using the Decomposition Method
In this paper we study the solution of random linear oscillatory equation without dam**
and with random leading condition using the method. Finally, the time evolution of the mean …
and with random leading condition using the method. Finally, the time evolution of the mean …
Stochastic Oscillators with Quadratic Nonlinearity Using WHEP and HPM Methods
In this paper, quadratic nonlinear oscillators under stochastic excitation are considered. The
Wiener-Hermite expansion with perturbation (WHEP) method and the homotopy …
Wiener-Hermite expansion with perturbation (WHEP) method and the homotopy …