superconvergence and linear stability of multistep collocation method applied to volterra integral equations with delay function θ(t)

This paper expands on a topic that was explored in recent research by p. darania et al. (2020), in which the multistepcollocation method (mscm) has been studied for solving fiesalong with their convergence analysis. this study focuses on theanalysis of the linear stability and super-convergence of mscm fora general form of delay function θ(t), which includes discontinuitypoints where the solutions exhibit low regularity. in addition,we present the stability region and the super-convergence order with various examples, thereby demonstrating the accuracy and efficiency of this method. moreover, the super-convergence and stability regions of the mscm for fies with delay, θ(t) = t − τ ,that do not exhibit any points of discontinuity have been investigated in [4].