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This article gives an effective strategy to solve the system of linear Stratonovich Volterra integral equations. Using the Bernstein polynomial multiwavelets operational matrix of integration and its stochastic operational matrix of integration, the system of linear Stratonovich Volterra integral equations can be reduced to a system of linear algebraic equations with unknown coefficients, and the obtained linear algebraic equations are solved numerically. Error analysis of the proposed method is given. Numerical examples are presented to show that the method described is accurate and precise. Keywords—Bernstein polynomials, Bernstein polynomial multiwavelets, Brownian motion, Stratonovich Volterra integral equations, Stochastic operational matrix of integration of Bernstein polynomial multiwavelets.

Bernstein polynomial multiwavelets operational matrices method for the numerical solution of system of linear Stratonovich Volterra integral equations