A new Model for Solving Three Mixed Integral Equations with Continuous and Discontinuous Kernels

In this paper, we discuss a new model to obtain the answer following question: how can establish different types of mixed integral equations from Fredholm equation? For this, consider three (MIEs), under certain conditions. The existence unique solution such is guaranteed. Using analytic and numerical methods, MIEs formulas yield same equation (FIE) formula second kind. continuous kernel, these MIEs, via FIEs, discussed analytically. addition, for discontinuous Toeplitz matrix method (TMM) Product Nyström (PNM) are used obtain, in each method, linear algebraic system (LAS). Then, results obtained, error computed case, compared as well.