TY - JOUR AU - Kang, Xiaorong AU - Cheng, Kelong AU - Guo, Chunxiang PY - 2015 DA - 2015/10/29 TI - A second-order Fourier pseudospectral method for the generalized regularized long wave equation JO - Advances in Difference Equations SP - 339 VL - 2015 IS - 1 AB - We present a second-order in time linearized semi-implicit Fourier pseudospectral scheme for the generalized regularized long wave equation. Based on the consistency analysis, the nonlinear stability and the convergence of the scheme are discussed, along with the a priori assumption and an aliasing error control estimate. The numerical examples demonstrate the features of the proposed scheme, including the convergence order, conservative properties, and the evolution of the unstable wave. SN - 1687-1847 UR - https://doi.org/10.1186/s13662-015-0676-3 DO - 10.1186/s13662-015-0676-3 ID - Kang2015 ER -