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A novel second order scheme with one step for forward backward stochastic differential equations

A novel second order scheme with one step for forward backward stochastic differential equations

In this paper, we present a novel explicit second order scheme with one step for solving the forward backward stochastic differential equations, with the Crank-Nicolson method as a specific instance within our proposed framework. We first present a rigorous stability result, followed by precise error estimates that confirm the proposed …