A new and efficient numerical approach is developed for solving linear Fredholm integral equations. The fundamental structure of the presented method is based on the modification of hat functions (MHFs) in which a new operational matrix of integration is introduced. After implementation of our scheme, the solution of the main problem would be transformed into the solution of a system of linear algebraic equations. Also, an error analysis is provided under several mild conditions. In addition, examples that illustrate the pertinent features of the method are presented, and the results are discussed.
