In this paper, by using the theories and methods of mathematical analysis and computer algebra, a complete iterated collocation method for solving system of Fredholm integral equation is established, furthermore, the truncated error is discussed. And a new mechanical algorithm  FredEqns is established, too. The algorithm can provide the approximate solution of system of Fredholm integral equation. Some examples are presented to illustrate the efficiency and accuracy of the algorithm. This will be useful for the integral system solving and mathematical theorems automatic proving.
['Weiming Wang', 'Yezhi Lin', 'Zhenbing Zeng']
A New Mechanical Algorithm for Solving System of Fredholm Integral Equation Using Resolvent Method