JAMP  Vol.8 No.6 , June 2020
Collocation Method for Solving the Generalized KdV Equation
Abstract: In this work, we have obtained numerical solutions of the generalized Korteweg-de Vries (GKdV) equation by using septic B-spline collocation finite element method. The suggested numerical algorithm is controlled by applying test problems including; single soliton wave. Our numerical algorithm, attributed to a Crank Nicolson approximation in time, is unconditionally stable. To control the performance of the newly applied method, the error norms, L2 and L and invariants I1, I2 and I3 have been calculated. Our numerical results are compared with some of those available in the literature.
Cite this paper: Geyikli, T. (2020) Collocation Method for Solving the Generalized KdV Equation. Journal of Applied Mathematics and Physics, 8, 1123-1134. doi: 10.4236/jamp.2020.86085.

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