| Abstract: | A spectral Jacobi-collocation approximation is proposed for Volterra delay
integro-differential equations with weakly singular kernels. In this paper, we consider
the special case that the underlying solutions of equations are sufficiently smooth. We
provide a rigorous error analysis for the proposed method, which shows that both
the errors of approximate solutions and the errors of approximate derivatives decay
exponentially in $L^∞$ norm and weighted $L^2$ norm. Finally, two numerical examples are
presented to demonstrate our error analysis. |
