A Radial Basis Function Finite Difference Scheme for the Benjamin–Ono Equation

A Radial Basis Function Finite Difference Scheme for the Benjamin–Ono Equation

A radial basis function-finite differencing (RBF-FD) scheme was applied to the initial value problem of the Benjamin–Ono equation. The Benjamin–Ono equation has traveling wave solutions with algebraic decay and a nonlocal pseudo-differential operator, the Hilbert transform. When posed on <inline-...

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Bibliographic Details
Main Authors: Benjamin Akers, Tony Liu, Jonah Reeger
Format: Article
Language:English
Published: MDPI AG 2021-12-01
Series:Mathematics
Subjects:
radial basis functions
finite difference methods
traveling waves
non-uniform grids
Online Access:https://www.mdpi.com/2227-7390/9/1/65

Internet

https://www.mdpi.com/2227-7390/9/1/65

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