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2007 Stochastic Finite Element Technique for Stochastic One-Dimension Time-Dependent Differential Equations with Random Coefficients
M. M. Saleh, I. L. El-Kalla, M. M. Ehab
Differ. Equ. Nonlinear Mech. 2007: 1-16 (2007). DOI: 10.1155/2007/48527

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.

Citation

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M. M. Saleh. I. L. El-Kalla. M. M. Ehab. "Stochastic Finite Element Technique for Stochastic One-Dimension Time-Dependent Differential Equations with Random Coefficients." Differ. Equ. Nonlinear Mech. 2007 1 - 16, 2007. https://doi.org/10.1155/2007/48527

Information

Received: 19 September 2006; Revised: 24 January 2007; Accepted: 14 March 2007; Published: 2007
First available in Project Euclid: 26 January 2017

zbMATH: 1156.70003
MathSciNet: MR2318208
Digital Object Identifier: 10.1155/2007/48527

Rights: Copyright © 2007 Hindawi

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