OICC Press Mathematical Sciences 2251-7456 18 2 (June 2024) 2022 12 17 A novel operational matrix method based on Genocchi polynomials for solving n-dimensional stochastic Itô–Volterra integral equation 10.1007/s40096-022-00502-z EN P. K. Singh Department of Mathematics, National Institute of Technology, Rourkela, 769008, IN S. Saha Ray Department of Mathematics, National Institute of Technology, Rourkela, 769008, IN Journal Article 2022 12 17 Abstract A reliable numerical method has been presented in this article to solve n -dimensional stochastic Itô–Volterra integral equations. In the proposed approach, relying on the valuable properties of Genocchi polynomials, operational matrices and related coefficient matrix have been introduced to convert the n -dimensional stochastic Itô–Volterra integral equation into a linear or nonlinear algebraic equation. Then collocation points have been used to generate the system of algebraic equations, which can be further solved by Newton’s method. Also, convergence analysis of the discussed technique is established. Finally, few illustrative problems have been examined to prove the efficiency and accuracy of the proposed scheme.