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20232026
most citedStability and Convergence analysis of a Crank-Nicolson Galerkin scheme for the fractional Korteweg-de Vries equation

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math.NA2025

A numerical method for the fractional Zakharov-Kuznetsov equation

Mukul Dwivedi, Andreas Rupp

This paper develops a fully discrete Fourier spectral Galerkin (FSG) method for the fractional Zakharov--Kuznetsov (fZK) equation posed on a two-dimensional periodic domain. The eq…

math.NA2025

A convergent Fourier spectral Galerkin method for the fractional Camassa-Holm equation

Mukul Dwivedi, Andreas Rupp

We analyze a Fourier spectral Galerkin method for the fractional Camassa-Holm (fCH) equation involving a fractional Laplacian of exponent with periodic boundary condit…