A simple method to solve nonlinear Volterra-Fredholm integro-differential equations

In this paper, a new simple direct method to solve nonlinear Fredholm-Volterra integral equations is presented. By using Block-pulse (BP) functions, their operational matrices and Taylor expansion a nonlinear Fredholm-Volterra integral equation converts to a nonlinear system. Some numerical examples illustrate accuracy and reliability of our solutions. Moreover, the effect of noise shows our method is stable.

Keywords:

Nonlinear Volterra-Fredholm integro-differential equation , Block-pulse functions , Taylor expansion , Operational matrices