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- W4384499100 abstract "Abstract This article has tried to evaluate a computational and practical numerical approach that is on the basis of Bernstein Polynomials for solving linear stochastic Itô-Volterra integral equations. We solve the linear stochastic problem by using the stochastic operational matrix of Bernstein polynomials. First, Bernstein polynomials and their properties are used for deriving a general process in order to make the Bernstein polynomials stochastic operational matrix. Second, using the stochastic operational matrix, the stochastic Itô-Volterra integral equations are solved. Third, the present paper investigates the error analysis of the convergence of the suggested approach. Finally, the accuracy and efficiency of the suggested approach using a numerical example is investigated." @default.
- W4384499100 created "2023-07-18" @default.
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- W4384499100 date "2023-07-17" @default.
- W4384499100 modified "2023-09-27" @default.
- W4384499100 title "Numerical solution of linear stochastic Itô-Volterra integral equation using stochastic Bernstein polynomial operational matrices" @default.
- W4384499100 doi "https://doi.org/10.21203/rs.3.rs-3157733/v1" @default.
- W4384499100 hasPublicationYear "2023" @default.
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