Abstract
In the present article, a meshfree numerical scheme based on multiquadric radial basis function to solve the time-fractional Kersten–Krasil’shchik coupled KdV–mKdV system has been proposed. The finite difference scheme and the Kansa method, respectively, are used to discretize the temporal and spatial derivatives. The stability and convergence of the proposed numerical scheme are also theoretically established. Finally, numerical simulations are performed and compared with the exact solutions to establish the accuracy and applicability of the proposed method.
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Communicated by Vasily E. Tarasov.
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Sagar, B., Saha Ray, S. Numerical solution of fractional Kersten–Krasil’shchik coupled KdV–mKdV system arising in shallow water waves. Comp. Appl. Math. 41, 286 (2022). https://doi.org/10.1007/s40314-022-01989-x
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DOI: https://doi.org/10.1007/s40314-022-01989-x
Keywords
- Fractional Kersten–Krasil’shchik coupled KdV–mKdV system
- Caputo fractional derivative
- Kansa method
- Radial basis function
- Multiquadric
- Stability
- Convergence