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Numerical solution of the Korteweg-de Vries (KdV) equation

✍ Scribed by P.C. Jain; Rama Shankar; Dheeraj Bhardwaj

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 459 KB
Volume: 8
Category: Article
ISSN: 0960-0779
DOI: 10.1016/s0960-0779(96)00135-x

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✦ Synopsis

numerical method is developed for solving the Korteweg-de Vries (KdV) equation u, -6uu, f u xxx = 0 by using splitting method and quintic spline approximation technique. The convergence, stability and accuracy of the proposed method are discussed. Further, the method is extended to solve the perturbed KdV equation, perturbed by energy influxes of cubic polynomial type, Burger's type and periodic forcing type, and the effects of these influxes on sohton solution are obtained.

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