Solving the Linear Oscillatory Problem without Damping with Random Loading Condition Using the Decomposition Method - Journal of Applied Mathematics and Physics

JAMP > Vol.7 No.3, March 2019

Solving the Linear Oscillatory Problem without Damping with Random Loading Condition Using the Decomposition Method ()

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DOI: 10.4236/jamp.2019.73038 605 Downloads 1,107 Views

Author(s)

Amnah S. Al-Juhani^*, Aleh A. Al-Shammari

Affiliation(s)

Faculty of Science, Tabuk University, Tabuk, KSA.

ABSTRACT

In this paper we study the solution of random linear oscillatory equation

without damping and with random leading condition using the method. Finally, the time evolution of the mean, variance and standard deviation has been plotted for a range of values of the natural frequency w.

KEYWORDS

Linear Stochastic Differential Equations, Adomian Decompositions, Linear Oscillatory, Mathematica

Share and Cite:

Al-Juhani, A. and Al-Shammari, A. (2019) Solving the Linear Oscillatory Problem without Damping with Random Loading Condition Using the Decomposition Method. Journal of Applied Mathematics and Physics, 7, 527-535. doi: 10.4236/jamp.2019.73038.

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