A high order finite difference scheme for solving the Regularised Long Wave(RLW) equation, based on the high order Pade approximation and Lax-Wendroff type timediscretization, was developed in this paper. Some numeric...A high order finite difference scheme for solving the Regularised Long Wave(RLW) equation, based on the high order Pade approximation and Lax-Wendroff type timediscretization, was developed in this paper. Some numerical examples, including the propagation of asingle soliton, the interaction of double solitary waves and the temporal evolution of a Maxwellianinitial pulse, were studied to test the accuracy, efficiency and conservation property of thescheme. Compared with the results based on finite element methods, the scheme is proven successful.展开更多
文摘A high order finite difference scheme for solving the Regularised Long Wave(RLW) equation, based on the high order Pade approximation and Lax-Wendroff type timediscretization, was developed in this paper. Some numerical examples, including the propagation of asingle soliton, the interaction of double solitary waves and the temporal evolution of a Maxwellianinitial pulse, were studied to test the accuracy, efficiency and conservation property of thescheme. Compared with the results based on finite element methods, the scheme is proven successful.
