Title of article
Approximate Solution of the Stochastic Nonlinear Oscillator
Author/Authors
Damercheli, T. Department of Mathematics - Yadegar-e-Imam Khomeini (RAH) Share Rey Branch, Islamic Azad University, Tehran, Iran
Pages
9
From page
91
To page
99
Abstract
In this paper, we consider the nonlinear equations with the additive white noise, which are commonly impossible to be solved by an analytical procedure. The Block-Pulse functions as basic functions are proposed to solve these equations. In order to investigate the validity of this method, we used the Adomian decomposition method to approximate the solution of the stochastic Duffing equations. The results reveal that the proposed method is very effective.
Keywords
Duffing's equation , Stochastic , Block-Pulse functions , Decomposition method
Journal title
International Journal of Industrial Mathematics(IJIM)
Serial Year
2021
Record number
2608208
Link To Document