TY - JOUR ID - 19924 TI - A computational wavelet method for numerical solution of stochastic Volterra-Fredholm integral equations JO - Wavelet and Linear Algebra JA - WALA LA - en SN - 2383-1936 AU - Mohammadi, Fakhrodin AD - Hormozgan University Y1 - 2016 PY - 2016 VL - 3 IS - 1 SP - 13 EP - 25 KW - Legendre wavelets, Brownian motion process, Stochastic Volterra-Fredholm integral equations, KW - Stochastic operational matrix, DO - N2 - A Legendre wavelet method is presented for numerical solutions of stochastic Volterra-Fredholm integral equations. The main characteristic of the proposed method is that it reduces stochastic Volterra-Fredholm integral equations into a linear system of equations. Convergence and error analysis of the Legendre wavelets basis are investigated. The efficiency and accuracy of the proposed method was demonstrated by some non-trivial examples and comparison with the block pulse functions method. UR - https://wala.vru.ac.ir/article_19924.html L1 - https://wala.vru.ac.ir/article_19924_03eb06bb455bb32b286246d39fdeb99f.pdf ER -