The Analytic solution for some non-linear stochastic differential equation by linearization (Linear-transform)
Section: Research Paper
Pages
71-77Keywords:
Stochastic differential equation,
Ito formula,
Reducible,
Euler-Maruyama & Milstein
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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The Analytic solution for some non-linear stochastic differential equation by linearization (Linear-transform). (2023). AL-Rafidain Journal of Computer Sciences and Mathematics, 17(1), 71-77. https://doi.org/10.33899/csmj.2023.179475
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This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
The Analytic solution for some non-linear stochastic differential equation by linearization (Linear-transform). (2023). AL-Rafidain Journal of Computer Sciences and Mathematics, 17(1), 71-77. https://doi.org/10.33899/csmj.2023.179475





