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Modified block pulse functions for numerical solution of stochastic Volterra integral equations. (English) Zbl 1406.65007

Summary: We present a new technique for solving numerically stochastic Volterra integral equation based on modified block pulse functions. It declares that the rate of convergence of the presented method is faster than the method based on block pulse functions. Efficiency of this method and good degree of accuracy are confirmed by a numerical example.

MSC:

65R20 Numerical methods for integral equations
45D05 Volterra integral equations
45R05 Random integral equations