Abstract:

We studied the collocation method for numerically solving a class of delay Volterra integrodifferential equations (DVIDEs). Uniform convergence and global superconvergence of the collocation method were discussed, and local superconvergence on the collocation points was also presented under a weak assumption. Results of the numerical experiments  demonstrate our theoretical analysis.

Key words: collocation method, superconvergence, proportional delay, Volterra integrodifferential equation