A Fast and Accurate Expansioniterative Method For Solving Second Kind Volterra Integral Equations

This article proposes a fast and accurate expansion-iterative method for solving second kind linearvolterra integral equations. the method is based on a special representation of vector forms oftriangular functions and their operational matrix of integration. by using this approach, solving theintegral equation reduces to solve a recurrence relation. the approximate solution of integral equationis iteratively produced via the recurrence relation. this approach does not use any projection methodsuch as collocation, galerkin, etc., for setting up the recurrence relation. some test problems areprovided to illustrate the accuracy and computational eciency of the method and to show that theresulting algorithm runs very fast