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In this paper, a method based on the least squares method and block pulse function is proposed to solve the multidimensional stochastic Ito-Volterra integral equation. The Ito-Volterra integral equation is transformed into a linear algebraic equation. Furthermore, the error analysis is given by the isometry property and Doob’s inequality. Numerical examples verify the effectiveness and precision of this method.

Numerical Solution of Multidimensional Stochastic Itô-Volterra Integral Equation Based on the Least Squares Method and Block Pulse Function