Using orthogonal Bernoulli polynomials to solve the linear Stratonovich Volterra integral problem system

Using orthogonal Bernoulli polynomials, this article describes a method for solving systems of linear Stratonovich Volterra integral equations (OBPs). With the use of operational basis functions (OBFs), their operational integration matrix (OIM), and their stochastic operational integral matrix (SOM), we are able to reduce the original system to a set of linear mathematical models with unknown coefficients. The estimated error associated with the suggested approach is presented. The paper concludes with two related numerical examples to illustrate the methodology’s applicability and its efficiency relative to standard numerical solutions.