Simple Numerical Schemes for the Korteweg-deVries Equation

[摘要] Two numerical schemes, which simulate the propagation of dispersive non-linear waves, are described. The first is a split-step Fourier scheme for the Korteweg-de Vries (KdV) equation. The second is a finite-difference scheme for the modified KdV equation. The stability and accuracy of both schemes are discussed. These simple schemes can be used to study a wide variety of physical processes that involve dispersive nonlinear waves.

[发布日期] 2000-12-01 [发布机构] University of Rochester

[关键词] 99 General And Miscellaneous//Mathematics, Computing, And Information Science;Korteweg-De Vries Equation;Finite Difference Method;Wave Packets;71 Classical And Quantum Mechanics, General Physics