Efficiency of High-Order Accurate Difference Schemes for the Korteweg-de Vries Equation

Two numerical models to obtain the solution of the KdV equation are proposed. Numerical tools, compact fourth-order and standard fourth-order finite difference techniques, are applied to the KdV equation. The fundamental conservative properties of the equation are preserved by the finite difference...

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Bibliographic Details
Main Authors: Kanyuta Poochinapan, Ben Wongsaijai, Thongchai Disyadej
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2014/862403