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Numerical solution of stochastic Volterra integral equations by a stochastic operational matrix based on block pulse functions. (English) Zbl 1255.65247
Summary: We propose an efficient method for solving stochastic Volterra integral equations. By using block pulse functions and their stochastic operational matrix of integration, a stochastic Volterra integral equation can be reduced to a linear lower triangular system, which can be directly solved by forward substitution. The results show that the approximate solutions have a good degree of accuracy.

MSC:
65R20 Numerical methods for integral equations
60H20 Stochastic integral equations
45R05 Random integral equations
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