TITLE:
Solving the Linear Oscillatory Problem without Damping with Random Loading Condition Using the Decomposition Method
AUTHORS:
Amnah S. Al-Juhani, Aleh A. Al-Shammari
KEYWORDS:
Linear Stochastic Differential Equations, Adomian Decompositions, Linear Oscillatory, Mathematica
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.7 No.3,
March
13,
2019
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.