Numerical solution of system of second-order integro-differential equations using nonclassical sinc collocation method

Abstract In this paper, a nonclassical sinc collocation method is constructed for the numerical solution of systems second-order integro-differential equations Volterra and Fredholm types. The novelty approach based on using new weight function instead classic ones. functions used to reduce system algebraic equations. Furthermore, convergence proposed theoretically, showing that converges exponentially. By solving some examples, including problems with non-smooth solution, results are compared other existing demonstrate efficiency method.