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- W2901432747 abstract "In this study, we investigate the nonlinear time-fractional Korteweg–de Vries (KdV) equation by using the (1/G[Formula: see text])-expansion method and the finite forward difference method. We first obtain the exact wave solutions of the nonlinear time-fractional KdV equation. In addition, we used the finite-forward difference method to obtain numerical solutions in this equations. When these solutions are obtained, the indexed forms of both Caputo and conformable derivatives are used. By using indexing technique, it is shown that the numerical results of the nonlinear time-fractional KdV equation approaches the exact solution. The two- and three-dimensional surfaces of the obtained analytical solutions are plotted. The von Neumann stability analysis of the used numerical scheme with the studied equation is carried out. The L 2 and L[Formula: see text] error norms are computed. The exact solutions and numerical approximations are compared by supporting with graphical plots and tables." @default.
- W2901432747 created "2018-11-29" @default.
- W2901432747 creator A5056278736 @default.
- W2901432747 date "2018-11-20" @default.
- W2901432747 modified "2023-10-16" @default.
- W2901432747 title "Comparison of Caputo and conformable derivatives for time-fractional Korteweg–de Vries equation via the finite difference method" @default.
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- W2901432747 doi "https://doi.org/10.1142/s0217979218503654" @default.
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