Approximate Solution of Stratonovich Linear Stochastic Differential Equations with induced Normalized Brownian Motion

摘要

This research article deals with the use of an iterative method, namely New Iterative Method (NIM) for the solution of Stratonovich Linear Stochastic Differential Equation. The noise terms of the linear SDEs are considered based on normalized Brownian Motion with finite series. Two Illustrative examples are considered to validate the accuracy of the method, and the results showed vividly that the approximate solutions converge faster to the exact solutions with fewer terms; though, higher terms will increase the accuracy.