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Estimates for the difference between approximate and exact solutions to stochastic differential equations in the G-framework
Faiz Faizullah, Ilyas Khan, Mukhtar M. Salah, Ziyad Ali Alhussai · 2018-09-26 · via math.PR updates on arXiv.org

This article investigates the Euler-Maruyama approximation procedure for stochastic differential equations in the framework of G-Browinian motion with non-linear growth and non-Lipschitz conditions. Subject to non-linear growth condition, it is revealed that the Euler-Maruyama approximate solutions are bounded in M^2_G.In view ofnon-linear growth and non-uniform Lipschitz conditions,we give estimates for the difference between the exact solution Z(t) and approximate solutions Zq(t) of SDEs in the framework of G-Brownia nmotion.

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