Ersoy, O. and Dağ, I. (2015) The Exponential Cubic B-Spline Algorithm for Korteweg-de Vries Equation. Advances in Numerical Analysis, 2015, Article ID: 367056.
https://doi.org/10.1155/2015/367056

has been cited by the following article:

• TITLE: Collocation Method for Solving the Generalized KdV Equation

  AUTHORS: Turabi Geyikli

  KEYWORDS: Generalized Korteweg-de Vries Equation, Finite Element Method, Collocation, Septic B-Spline, Soliton

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.6, June 11, 2020

  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.