Finite Element Method For Solving Nonlinear Random Ordinary Differential Equations

Ibrahim Elkott, Ibrahim.L. El-Kalla, Ahmed Elsaid () and Reda Abdo
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Ibrahim Elkott: Mathematics and Engineering Physics Department, Faculty of Engineering, Mansoura 1University, PO 35516, Mansoura, Egypt
Ibrahim.L. El-Kalla: Mathematics and Engineering Physics Department, Faculty of Engineering, Mansoura 1University, PO 35516, Mansoura, Egypt
Ahmed Elsaid: Mathematics and Engineering Physics Department, Faculty of Engineering, Mansoura 1University, PO 35516, Mansoura, Egypt
Reda Abdo: Mathematics and Engineering Physics Department, Faculty of Engineering, Mansoura 1University, PO 35516, Mansoura, Egypt

Matrix Science Mathematic (MSMK), 2019, vol. 3, issue 2, 17-21

Abstract: In this paper we utilize the finite element method for solving random nonlinear differential equations. In the proposed technique, the nodal coefficients are formulated as functions of the random variable. At certain values of random variable, curve fitting is used to construct the approximate nodal solution. Several numerical examples are presented, and the approximate mean solutions are compared with the exact mean solution to illustrate the ability and effectiveness of this method.

Keywords: Finite element method; Random ordinary differential equations; Nonlinear equations (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:zib:zbmsmk:v:3:y:2019:i:2:p:17-21

DOI: 10.26480/msmk.02.2019.17.21

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