A Splitting Method for the Benjamin-Bona-Mahoney Equation Using WENO Scheme

摘要：

　　The Benjamin-Bona-Mahoney equation can be split into a system of an elliptic equation and an ordinary differential equation (ODE).For the elliptic equation, we use a classical finite difference weighted essentially non-oscillatory (WENO) scheme.For the ODE, the third order explicit Runge-Kutta method is employed to discretize the time derivative.Due to the WENO reconstruction, the splitting method shows an excellent ability in capturing the formation and propagation of shock peak on solutions.The numerical simulations for asymptotic solution of the BBM equation illustrate the capability of the method.

关键词： Benjamin-Bona-Mahoney equation Discontinuous solution Weighted essentially non-oscillatory method Runge-Kutta method

作者: Ji ZHANG Xu QIAN Yun-rui GUO Song-he SONG

作者单位: College of Science and State Key Laboratory of High Performance Computing,National University of Defense Technology, Changsha, 410073

会议类型: 国际会议

会议名称: 2018 International Conference on Physics, Computing and Mathematical Modeling(PCMM2018)(2018年物理计算和数学建模国际学术会议)

会议地点: 上海

会议语种:英文

页码: 125-132

在线出版日期: 2018-04-15（万方平台首次上网日期，不代表论文的发表时间）