Numerical Solution of Stochastic Ito-Volterra Integral Equations Using Haar Wavelets

Abstract

This paper presents a computational method for solving stochastic Ito-Volterra integral equations. First,  Haar wavelets and their properties are employed to derive a general procedure for forming the stochastic operational matrix of Haar wavelets. Then, application of this stochastic operational matrix for solving stochastic Ito-Volterra integral equations is explained. The convergence and error analysis of the proposed method are investigated. Finally, the efficiency of the presented method is confirmed by some examples.