Locally one-dimensional finite-difference time-domain formulations implemented with the auxiliary differential equation technique are presented for the study of plasmonic devices that comprise dispersive materials described by the generalized modified Lorentz and partial fraction models. The convolutional perfectly matched layer is employed for the termination of the computational domain. The performance of the proposed algorithms is evaluated in benchmark problems on guided-wave plasmonic structures, which demonstrate satisfactory numerical accuracy with significantly reduced computational times.