Finite difference solutions of dispersive partial differential equations

✍ Scribed by William L. Briggs; Talib Sarie

• Publisher: Elsevier Science
• Year: 1983
• Tongue: English
• Weight: 818 KB
• Volume: 25
• Category: Article
• ISSN: 0378-4754
• DOI: 10.1016/0378-4754(83)90103-9

✦ Synopsis

The second order leapfrog method is used to discretize the linearized KdV equation which is itself a dispersive partial differential equation.

The resulting difference equation is solved and analyzed in terms of its dispersion relation and propagation properties.

Numerical experiments are included to illustrate some of the results obtained.

Finally, a novel aliasing error which affects the propagation of wave packets is presented 1.