The Analytic solution for some non-linear stochastic differential equation by linearization (Linear-transform)
Section: Research Paper
Abstract
In this paper, we study a reducible method which is called linearization(Linear-transform) for some non-linear stochastic differential equations (SDEs) to linear by using the Ito-integrated formula. And then finding their analytic solution, we compare the obtained solution for the nonlinear SDEs with the approximate solution by using numerical (Euler -Maruyama and Milstein) Methods.
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Jasim Salim, A., نبال, & Sabah Abdulrhman, N. (2025). The Analytic solution for some non-linear stochastic differential equation by linearization (Linear-transform). AL-Rafidain Journal of Computer Sciences and Mathematics, 17(1), 71–77. Retrieved from https://rjps.uomosul.edu.iq/index.php/csmj/article/view/19765