The multidimensional Itô-Volterra integral equations arise in many problems such as exponential population growth model with several independent white noise sources. In this paper, we obtain stochastic operational matrix of rationalized Haar functions on interval  to solve m-dimensional stochastic Itô-Volterra integral equations. By using rationalized Haar functions and their stochastic operational matrix of integration, m-dimensional stochastic Itô-Volterra integral equation can be reduced to a linear system which can be directly solved by Gaussian elimination method. This scheme is applied for some numerical examples in the population growth. The results show the efficiency and accuracy of the method.

rationalized Haar functions, stochastic operational matrix, product matrix, stochastic Itô-Volterra integral equations, Itô integral, Brownian motion process.