In recent years, the approximate solution methods for integro-differential equations play a
very important role in many scientific fields such as chemistry, biology and mathematical
physics. With the advantage of digital computing machines, including computers, these
methods have now become an essential tool for investigation in various fundamental problems
of our assimilation of scientific phenomena that are difficult or impossible to solve in
the past . In this sense, our focus will be on the spectral collocation methods for solving
integro-differential equations.