3 papers
math.NA2025
Spectral Galerkin method for the zero dispersion limit of the fractional Korteweg-de Vries equation
Mukul Dwivedi, Tanmay Sarkar
We present a fully discrete Crank-Nicolson Fourier-spectral-Galerkin (FSG) scheme for approximating solutions of the fractional Korteweg-de Vries (KdV) equation, which involves a f…
math.NA2024
Analysis of a local discontinuous Galerkin scheme for fractional Korteweg-de Vries equation
Mukul Dwivedi, Tanmay Sarkar
We propose a local discontinuous Galerkin (LDG) method for the fractional Korteweg-de Vries (KdV) equation, involving the fractional Laplacian with exponent in one an…
math.NA2024
Fully discrete finite difference schemes for the Fractional Korteweg-de Vries equation
Mukul Dwivedi, Tanmay Sarkar
In this paper, we present and analyze fully discrete finite difference schemes designed for solving the initial value problem associated with the fractional Korteweg-de Vries (KdV)…