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The Analytic solution for some non-linear stochastic differential equation by linearization (Linear-transform)

    Authors

    • Abdulghafoor J. Salim 1
    • Nibal Sabah Abdulrhman 2

    1 Department of Mathematics, College of Computer Science and Mathematics, The University of Mosul. Mosul – Iraq

    2 Department of Mathematics, College of Education for pure Science, The University of Mosul. Mosul – Iraq

,

Document Type : Research Paper

10.33899/csmj.2023.179475
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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.

Keywords

  • Stochastic differential equation
  • Ito formula
  • Reducible
  • Euler-Maruyama & Milstein
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    • Article View: 54
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AL-Rafidain Journal of Computer Sciences and Mathematics
Volume 17, Issue 1
June 2023
Page 71-77
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  • Article View: 54
  • PDF Download: 79

APA

J. Salim, A., & Abdulrhman, N. (2023). 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. doi: 10.33899/csmj.2023.179475

MLA

Abdulghafoor J. Salim; Nibal Sabah Abdulrhman. "The Analytic solution for some non-linear stochastic differential equation by linearization (Linear-transform)". AL-Rafidain Journal of Computer Sciences and Mathematics, 17, 1, 2023, 71-77. doi: 10.33899/csmj.2023.179475

HARVARD

J. Salim, A., Abdulrhman, N. (2023). 'The Analytic solution for some non-linear stochastic differential equation by linearization (Linear-transform)', AL-Rafidain Journal of Computer Sciences and Mathematics, 17(1), pp. 71-77. doi: 10.33899/csmj.2023.179475

VANCOUVER

J. Salim, A., Abdulrhman, N. The Analytic solution for some non-linear stochastic differential equation by linearization (Linear-transform). AL-Rafidain Journal of Computer Sciences and Mathematics, 2023; 17(1): 71-77. doi: 10.33899/csmj.2023.179475

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