The Method Of Two - Dimensional Volterra Delay Integral Equations

The basic theories of Volterra integral equation develop and mature in twenti-eth century, and apply to natural and engineering science fields gradually. Along with the development of computer technology, as one of the important basis for engineering calculation, integral equation used more widely and effectively.This paper mainly studies the collocation methods for two-dimensional Volterra integral equations with smooth kernels and delays. Starting from introduction the history of volterra integral equations, by classify for the Volterra integral equations, simply lists the basic theories appearing on the current phase of Volterra integral equations, and focused on the existence and uniqueness of solutions of a class of two-dimensional Volterra integral equations with the delays, global convergence, local super-convergence, and iterative solution’s global super-convergence and local super-convergence.