The aims of this paper are (i) to present a survey of recent advances in the analysis of superconvergence of collocation solutions for linear Volterra-type functional integral and integro-differential equations with delay functions θ(t) vanishing at the initial point of the interval of integration (with ia(t) = qt (0 < q < 1, t ≥ 0) being an important special case), and (ii) to point, by means of a list of open problems, to areas in the numerical analysis of such Volterra functional equations where more research needs to be carried out.
Scopus Subject Areas
- Mathematics (miscellaneous)
- Collocation solution
- Optimal order of superconvergence
- Pantograph equation
- Vanishing delay
- Volterra functional integral and integro-differential equation