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An Explicit Method for the Coupled Forward Backward Stochastic Differential Equations
Xiao Tang and Jie Xiong

Adv. Appl. Math. Mech. DOI: 10.4208/aamm.OA-2024-0026

Publication Date : 2025-02-15

  • Abstract

This paper proposes an explicit method for the coupled forward backward stochastic differential equations (FBSDEs). Our method combines skillfully a weak second order stochastic Runge-Kutta method for solving forward equations with a two-step method for solving backward equations. We give a convergence theorem for the proposed method when the FBSDEs is weakly coupled (the forward equations are independent of the variable $Z$). Finally, some numerical results are presented, and the numerical results show that our method still works well even if the forward equations depend on $Z$.


  • Copyright

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