Modified Block-Pulse Functions Scheme for Solve of Two-Dimensional Stochastic Integral Equations

Abstract

In this paper, two-dimensional modified block-pulse functions (2D-MBPFs) method is introduced for approximate solution of 2D-linear stochastic Volterra-Fredholm integral equations so the ordinary and stochastic operrational matrices of integration are utilized to reduce the computation of such equations into some algebraic equations. Convergence analysis of this method is discussed. Finally an illustrative example is given to show the accuracy of the proposed method so the results of it is compared with the block-pulse functions (BPFs) method.

Keywords

• modified block-pulse functions; two-dimensional integral equation;
• stochastic integral equation; volterra-fredholm integral equation; operational