Many problems arising in science and engineering are modeled by nonlocal initial-boundary value problems (IBVPs) in one space variable. In such a problem, the governing partial differential equation and/or boundary conditions involve spatial integrals of the solution. Although high-quality software exists for solving standard IBVPs, it cannot handle such nonlocal problems directly. In this report, a reformulation technique, previously applied to nonlocal two-point boundary value problems, is extended to nonlocal IBVPs to enable their solution to a user-prescribed accuracy using a state-of-the-art error control software package. The efficacy of this approach is demonstrated using several nonlocal problems from the literature.