3·î13Æü(ÌÚ) 16:00 -- 17:00 Edward H. Twizell (Brunel University, U.K.)
``Computational Methods for Korteweg-de Vries and
Kadomtsev-Petviashvili Equations''
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A range of solutions for the Korteweg-de Vries (KdV) equation and its
generalized form (GKdV) will be presented.
Computational techniques based on a linearized, implicit, finite-
difference scheme and on a predictor-corrector approach are presented
for the solution of the Kadomtsev-Petviashvili (KP)equation and its
generalized form (GKP).
An important advatage to be gained from the use of the former method
over the latter, which is conditionally stable, is the ability to vary
the mesh length, thereby reducing computational costs.
Numerical results portraying a single line-soliton solution, the
interaction of two line-solitons, a lump-like soliton and the inter-
action of two lump solitons will be reported for the KP equation.