The effect of the past values of some natural physical phenomena in understanding the current and predicting their future dynamics behavior is undeniable. Delay systems describe their behavior; hence special attention has been given to them recently. In this investigation, we deal with the delay Volterra integral equations as one of the most important tools in this eld, applying the collocation method based on the locally supported radial basis functions. Discretization of integrals obtained has been done through the Gauss-Legendre integration rule. The presented scheme estimates the unknown function utilizing a small set of data instead of all points in the solution domain and subsequently uses much less computer memory and volume computing compared to global cases. In addition, the presented example con rms that the new approach is powerful in solving these kinds of integral equations.
