Survey of cubic B-spline implicit time integration method in computational wave propagation

Recently an implicit time integration method based-on Cubic B-spline has been presented for solving the problems in structural dynamics. This method benefits from high accuracy and desire stability. In this paper, the presented method is developed for analyzing the wave propagation problems and the results are compared to the methods in the literature including a series of Bathe family methods (Noh-Bathe, Standard Bathe p1/B2-Bathe and pq-Bathe methods) and Newmark trapezoidal rule method. A numerical dispersion analysis is presented to evaluate the method in one and two wave propagation problems. Results indicate that the method under study has adequate performance in wave propagation as good as structural dynamic problems.