TY - JOUR T1 - Numerical Solution of Stochastic Ito-Volterra Integral Equations Using Haar Wavelets AU - Fakhrodin Mohammadi JO - Numerical Mathematics: Theory, Methods and Applications VL - 3 SP - 416 EP - 431 PY - 2016 DA - 2016/09 SN - 9 DO - http://doi.org/10.4208/nmtma.2016.m1425 UR - https://global-sci.org/intro/article_detail/nmtma/12383.html KW - AB -
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.