Hybrid Functions Approach and Piecewise Constant Function by Collocation Method for the Nonlinear Volterra-Fredholm Integral Equations

In this work, we will compare two approximation method based on hybrid Legendre and Block-Pulse functions and a computational method for solving nonlinear Fredholm-Volterra integral equations of the second kind which is based on replacement of the unknown function by truncated series of well known Block-Pulse functions (BPfs) expansion.