Simple Numerical Schemes for the Korteweg-deVries Equation.

McKinstrie, C. J. ; Kozlov, M. V.

Technical Information Center Oak Ridge Tennessee

关键词: Korteweg-deVries equation;    Wave equations;    Finite difference theory;    Stability;    Accuracy;   

RP-ID  :  DE2002769392

学科分类：工程和技术（综合）

美国|英语

来源: National Technical Reports Library

【 摘 要 】

Two numerical schemes, which simulate the propagation of dispersive nonlinear waves, are described. The first is a split-step Fourier scheme for the Kortewegcie 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.