Solving integral and integro-differential equations using Collocation and Wavelets methods

The main objective of this work is to study some classes of integral and integro-differential equations with regular and singular kernels. We introduce a wavelets method to solve a new class of Fredholm integral equations of the second kind with non symmetric kernel; we also apply a collocation method based on the airfoil polynomial to numerically solve an integro-differential equation of second order with Cauchy kernel.