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Second Order Scheme For Korteweg-De Vries (KDV) Equation
2019
Journal of Bangladesh Academy of Sciences
Preserved Fulltext
The kinematics of the solitary waves is formed by Korteweg-de Vries (KdV) equation. In this paper, a third order general form of the KdV equation with convection and dispersion terms is considered. Explicit finite difference schemes for the numerical solution of the KdV equation is investigated and stability condition for a first-order scheme using convex combination method is determined. Von Neumann stability analysis is performed to determine the stability condition for a second order scheme.
doi:10.3329/jbas.v43i1.42237
fatcat:vc4vugsqsjfnnpii5xgunau62q