Stochastic Finite Element Technique for Stochastic One-Dimension Time-Dependent Differential Equations with Random Coefficients. (20th May 2007)

• Record Type: Journal Article
• Authors: Saleh Saleh, M. M. M. M.; El-Kalla El-Kalla, I. L. I. L.; Ehab Ehab, M. M. M. M.
• Other Names: Saccomandi Saccomandi Giuseppe Giuseppe Academic Editor.
• Is Part Of: Differential equations and nonlinear mechanics. Volume 2007/2007)
• Publication Date: 2007-05-20
• Subjects: Differential equations, Nonlinear -- Periodicals; Nonlinear mechanics -- Periodicals; Équations différentielles non linéaires; Mécanique non linéaire; Differential equations, Nonlinear; Nonlinear mechanics; Chaos Theory; Differential Equations; Periodicals; Electronic journals; 515.35
• DOI: 10.1155/2007/48527
• Languages: English
• ISSNs: 1687-4099

Abstract

Abstract : The stochastic finite element method (SFEM) is employed for solving stochastic one-dimension time-dependent differential equations with random coefficients. SFEM is used to have a fixed form of linear algebraic equations for polynomial chaos coefficients of the solution process. Four fixed forms are obtained in the cases of stochastic heat equation with stochastic heat capacity or heat conductivity coefficients and stochastic wave equation with stochastic mass density or elastic modulus coefficients. The relation between the exact deterministic solution and the mean of solution process is numerically studied.